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Finding the Fourth Proportional to 157,471.80, 236,207.70 and 106,952.10

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Solution

The fourth proportional to 157,471.80, 236,207.70 and 106,952.10 is: 160,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,471.80 : 236,207.70 = 106,952.10 : x
  2. Step 2: Convert to fraction form
    157,471.80/236,207.70 = 106,952.10/x
  3. Step 3: Cross multiply
    157,471.80x = 236,207.70 × 106,952.10
  4. Step 4: Simplify right side
    157,471.80x = 25,262,909,551.17
  5. Step 5: Solve for x
    x = 25,262,909,551.17/157,471.80
  6. Step 6: Final answer
    x = 160,428.15

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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.