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Finding the Fourth Proportional to 225,653.13, 338,691.09 and 119,116.16

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Solution

The fourth proportional to 225,653.13, 338,691.09 and 119,116.16 is: 178,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,653.13 : 338,691.09 = 119,116.16 : x
  2. Step 2: Convert to fraction form
    225,653.13/338,691.09 = 119,116.16/x
  3. Step 3: Cross multiply
    225,653.13x = 338,691.09 × 119,116.16
  4. Step 4: Simplify right side
    225,653.13x = 40,343,580,373.56
  5. Step 5: Solve for x
    x = 40,343,580,373.56/225,653.13
  6. Step 6: Final answer
    x = 178,785.82

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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.