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Finding the Fourth Proportional to 171,877.90, 257,816.85 and 160,213.90

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Solution

The fourth proportional to 171,877.90, 257,816.85 and 160,213.90 is: 240,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,877.90 : 257,816.85 = 160,213.90 : x
  2. Step 2: Convert to fraction form
    171,877.90/257,816.85 = 160,213.90/x
  3. Step 3: Cross multiply
    171,877.90x = 257,816.85 × 160,213.90
  4. Step 4: Simplify right side
    171,877.90x = 41,305,843,024.22
  5. Step 5: Solve for x
    x = 41,305,843,024.22/171,877.90
  6. Step 6: Final answer
    x = 240,320.85

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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.