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Finding the Fourth Proportional to 470,080.43, 705,030.46 and 133,039.70

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Solution

The fourth proportional to 470,080.43, 705,030.46 and 133,039.70 is: 199,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,080.43 : 705,030.46 = 133,039.70 : x
  2. Step 2: Convert to fraction form
    470,080.43/705,030.46 = 133,039.70/x
  3. Step 3: Cross multiply
    470,080.43x = 705,030.46 × 133,039.70
  4. Step 4: Simplify right side
    470,080.43x = 93,797,040,889.26
  5. Step 5: Solve for x
    x = 93,797,040,889.26/470,080.43
  6. Step 6: Final answer
    x = 199,534.03

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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.