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Finding the Fourth Proportional to 102,001.80, 153,002.70 and 75,757.80

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Solution

The fourth proportional to 102,001.80, 153,002.70 and 75,757.80 is: 113,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.80 : 153,002.70 = 75,757.80 : x
  2. Step 2: Convert to fraction form
    102,001.80/153,002.70 = 75,757.80/x
  3. Step 3: Cross multiply
    102,001.80x = 153,002.70 × 75,757.80
  4. Step 4: Simplify right side
    102,001.80x = 11,591,147,946.06
  5. Step 5: Solve for x
    x = 11,591,147,946.06/102,001.80
  6. Step 6: Final answer
    x = 113,636.70

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1.5x scale

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.