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Finding the Fourth Proportional to 113,159.68, 169,496.53 and 106,535.12

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Solution

The fourth proportional to 113,159.68, 169,496.53 and 106,535.12 is: 159,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,159.68 : 169,496.53 = 106,535.12 : x
  2. Step 2: Convert to fraction form
    113,159.68/169,496.53 = 106,535.12/x
  3. Step 3: Cross multiply
    113,159.68x = 169,496.53 × 106,535.12
  4. Step 4: Simplify right side
    113,159.68x = 18,057,332,049.31
  5. Step 5: Solve for x
    x = 18,057,332,049.31/113,159.68
  6. Step 6: Final answer
    x = 159,573.91

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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.