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Finding the Fourth Proportional to 171,253.59, 257,006.57 and 81,296.61

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Solution

The fourth proportional to 171,253.59, 257,006.57 and 81,296.61 is: 122,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,253.59 : 257,006.57 = 81,296.61 : x
  2. Step 2: Convert to fraction form
    171,253.59/257,006.57 = 81,296.61/x
  3. Step 3: Cross multiply
    171,253.59x = 257,006.57 × 81,296.61
  4. Step 4: Simplify right side
    171,253.59x = 20,893,762,482.24
  5. Step 5: Solve for x
    x = 20,893,762,482.24/171,253.59
  6. Step 6: Final answer
    x = 122,004.81

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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.