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Finding the Fourth Proportional to 261,567, 392,354.10 and 74,578.50

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Solution

The fourth proportional to 261,567, 392,354.10 and 74,578.50 is: 111,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,567 : 392,354.10 = 74,578.50 : x
  2. Step 2: Convert to fraction form
    261,567/392,354.10 = 74,578.50/x
  3. Step 3: Cross multiply
    261,567x = 392,354.10 × 74,578.50
  4. Step 4: Simplify right side
    261,567x = 29,261,180,246.85
  5. Step 5: Solve for x
    x = 29,261,180,246.85/261,567
  6. Step 6: Final answer
    x = 111,868.78

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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.