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Finding the Fourth Proportional to 102,593.96, 154,061.13 and 63,400.19

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Solution

The fourth proportional to 102,593.96, 154,061.13 and 63,400.19 is: 95,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.96 : 154,061.13 = 63,400.19 : x
  2. Step 2: Convert to fraction form
    102,593.96/154,061.13 = 63,400.19/x
  3. Step 3: Cross multiply
    102,593.96x = 154,061.13 × 63,400.19
  4. Step 4: Simplify right side
    102,593.96x = 9,767,504,913.61
  5. Step 5: Solve for x
    x = 9,767,504,913.61/102,593.96
  6. Step 6: Final answer
    x = 95,205.46

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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.