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Finding the Fourth Proportional to 174,592.52, 261,899.13 and 54,671.90

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Solution

The fourth proportional to 174,592.52, 261,899.13 and 54,671.90 is: 82,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,592.52 : 261,899.13 = 54,671.90 : x
  2. Step 2: Convert to fraction form
    174,592.52/261,899.13 = 54,671.90/x
  3. Step 3: Cross multiply
    174,592.52x = 261,899.13 × 54,671.90
  4. Step 4: Simplify right side
    174,592.52x = 14,318,523,045.45
  5. Step 5: Solve for x
    x = 14,318,523,045.45/174,592.52
  6. Step 6: Final answer
    x = 82,011.09

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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.