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Finding the Fourth Proportional to 123,053.92, 169,814.53 and 66,465.30

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Solution

The fourth proportional to 123,053.92, 169,814.53 and 66,465.30 is: 91,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,053.92 : 169,814.53 = 66,465.30 : x
  2. Step 2: Convert to fraction form
    123,053.92/169,814.53 = 66,465.30/x
  3. Step 3: Cross multiply
    123,053.92x = 169,814.53 × 66,465.30
  4. Step 4: Simplify right side
    123,053.92x = 11,286,773,680.81
  5. Step 5: Solve for x
    x = 11,286,773,680.81/123,053.92
  6. Step 6: Final answer
    x = 91,722.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.