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Finding the Fourth Proportional to 316,141.56, 474,209.82 and 129,021.84

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Solution

The fourth proportional to 316,141.56, 474,209.82 and 129,021.84 is: 193,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,141.56 : 474,209.82 = 129,021.84 : x
  2. Step 2: Convert to fraction form
    316,141.56/474,209.82 = 129,021.84/x
  3. Step 3: Cross multiply
    316,141.56x = 474,209.82 × 129,021.84
  4. Step 4: Simplify right side
    316,141.56x = 61,183,423,522.47
  5. Step 5: Solve for x
    x = 61,183,423,522.47/316,141.56
  6. Step 6: Final answer
    x = 193,531.73

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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.