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Finding the Fourth Proportional to 261,049.34, 391,567.80 and 83,555.66

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Solution

The fourth proportional to 261,049.34, 391,567.80 and 83,555.66 is: 125,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,049.34 : 391,567.80 = 83,555.66 : x
  2. Step 2: Convert to fraction form
    261,049.34/391,567.80 = 83,555.66/x
  3. Step 3: Cross multiply
    261,049.34x = 391,567.80 × 83,555.66
  4. Step 4: Simplify right side
    261,049.34x = 32,717,705,963.75
  5. Step 5: Solve for x
    x = 32,717,705,963.75/261,049.34
  6. Step 6: Final answer
    x = 125,331.50

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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.