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Finding the Fourth Proportional to 266,209.38, 367,325.58 and 157,298.56

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Solution

The fourth proportional to 266,209.38, 367,325.58 and 157,298.56 is: 217,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,209.38 : 367,325.58 = 157,298.56 : x
  2. Step 2: Convert to fraction form
    266,209.38/367,325.58 = 157,298.56/x
  3. Step 3: Cross multiply
    266,209.38x = 367,325.58 × 157,298.56
  4. Step 4: Simplify right side
    266,209.38x = 57,779,784,785.16
  5. Step 5: Solve for x
    x = 57,779,784,785.16/266,209.38
  6. Step 6: Final answer
    x = 217,046.39

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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.