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Finding the Fourth Proportional to 316,193.43, 474,290.96 and 129,204.93

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Solution

The fourth proportional to 316,193.43, 474,290.96 and 129,204.93 is: 193,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,193.43 : 474,290.96 = 129,204.93 : x
  2. Step 2: Convert to fraction form
    316,193.43/474,290.96 = 129,204.93/x
  3. Step 3: Cross multiply
    316,193.43x = 474,290.96 × 129,204.93
  4. Step 4: Simplify right side
    316,193.43x = 61,280,729,640.41
  5. Step 5: Solve for x
    x = 61,280,729,640.41/316,193.43
  6. Step 6: Final answer
    x = 193,807.73

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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.