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Finding the Fourth Proportional to 174,180, 261,283.50 and 54,221.88

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Solution

The fourth proportional to 174,180, 261,283.50 and 54,221.88 is: 81,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,180 : 261,283.50 = 54,221.88 : x
  2. Step 2: Convert to fraction form
    174,180/261,283.50 = 54,221.88/x
  3. Step 3: Cross multiply
    174,180x = 261,283.50 × 54,221.88
  4. Step 4: Simplify right side
    174,180x = 14,167,282,582.98
  5. Step 5: Solve for x
    x = 14,167,282,582.98/174,180
  6. Step 6: Final answer
    x = 81,337.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.