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Finding the Fourth Proportional to 174,591.52, 261,897.63 and 54,670.90

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Solution

The fourth proportional to 174,591.52, 261,897.63 and 54,670.90 is: 82,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,591.52 : 261,897.63 = 54,670.90 : x
  2. Step 2: Convert to fraction form
    174,591.52/261,897.63 = 54,670.90/x
  3. Step 3: Cross multiply
    174,591.52x = 261,897.63 × 54,670.90
  4. Step 4: Simplify right side
    174,591.52x = 14,318,179,139.97
  5. Step 5: Solve for x
    x = 14,318,179,139.97/174,591.52
  6. Step 6: Final answer
    x = 82,009.59

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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.