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Finding the Fourth Proportional to 174,635.38, 261,926.34 and 56,294.38

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Solution

The fourth proportional to 174,635.38, 261,926.34 and 56,294.38 is: 84,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,635.38 : 261,926.34 = 56,294.38 : x
  2. Step 2: Convert to fraction form
    174,635.38/261,926.34 = 56,294.38/x
  3. Step 3: Cross multiply
    174,635.38x = 261,926.34 × 56,294.38
  4. Step 4: Simplify right side
    174,635.38x = 14,744,980,915.97
  5. Step 5: Solve for x
    x = 14,744,980,915.97/174,635.38
  6. Step 6: Final answer
    x = 84,432.95

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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.