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Finding the Fourth Proportional to 110,494,401.70, 165,741,602.55 and 86,101,259.80

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Solution

The fourth proportional to 110,494,401.70, 165,741,602.55 and 86,101,259.80 is: 129,151,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,494,401.70 : 165,741,602.55 = 86,101,259.80 : x
  2. Step 2: Convert to fraction form
    110,494,401.70/165,741,602.55 = 86,101,259.80/x
  3. Step 3: Cross multiply
    110,494,401.70x = 165,741,602.55 × 86,101,259.80
  4. Step 4: Simplify right side
    110,494,401.70x = 14,270,560,780,825,894
  5. Step 5: Solve for x
    x = 14,270,560,780,825,894/110,494,401.70
  6. Step 6: Final answer
    x = 129,151,889.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.