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Finding the Fourth Proportional to 316,062.91, 474,343.46 and 138,692.35

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Solution

The fourth proportional to 316,062.91, 474,343.46 and 138,692.35 is: 208,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,062.91 : 474,343.46 = 138,692.35 : x
  2. Step 2: Convert to fraction form
    316,062.91/474,343.46 = 138,692.35/x
  3. Step 3: Cross multiply
    316,062.91x = 474,343.46 × 138,692.35
  4. Step 4: Simplify right side
    316,062.91x = 65,787,809,174.53
  5. Step 5: Solve for x
    x = 65,787,809,174.53/316,062.91
  6. Step 6: Final answer
    x = 208,147.83

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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.