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Finding the Fourth Proportional to 261,174.69, 391,751.06 and 83,677.77

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Solution

The fourth proportional to 261,174.69, 391,751.06 and 83,677.77 is: 125,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,174.69 : 391,751.06 = 83,677.77 : x
  2. Step 2: Convert to fraction form
    261,174.69/391,751.06 = 83,677.77/x
  3. Step 3: Cross multiply
    261,174.69x = 391,751.06 × 83,677.77
  4. Step 4: Simplify right side
    261,174.69x = 32,780,854,677.55
  5. Step 5: Solve for x
    x = 32,780,854,677.55/261,174.69
  6. Step 6: Final answer
    x = 125,513.14

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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.