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Finding the Fourth Proportional to 316,013.92, 474,046.08 and 105,652.96

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Solution

The fourth proportional to 316,013.92, 474,046.08 and 105,652.96 is: 158,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,013.92 : 474,046.08 = 105,652.96 : x
  2. Step 2: Convert to fraction form
    316,013.92/474,046.08 = 105,652.96/x
  3. Step 3: Cross multiply
    316,013.92x = 474,046.08 × 105,652.96
  4. Step 4: Simplify right side
    316,013.92x = 50,084,371,528.40
  5. Step 5: Solve for x
    x = 50,084,371,528.40/316,013.92
  6. Step 6: Final answer
    x = 158,487.87

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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.