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Finding the Fourth Proportional to 102,113.95, 153,171.68 and 35,553.97

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Solution

The fourth proportional to 102,113.95, 153,171.68 and 35,553.97 is: 53,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,113.95 : 153,171.68 = 35,553.97 : x
  2. Step 2: Convert to fraction form
    102,113.95/153,171.68 = 35,553.97/x
  3. Step 3: Cross multiply
    102,113.95x = 153,171.68 × 35,553.97
  4. Step 4: Simplify right side
    102,113.95x = 5,445,861,479.26
  5. Step 5: Solve for x
    x = 5,445,861,479.26/102,113.95
  6. Step 6: Final answer
    x = 53,331.22

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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.