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Finding the Fourth Proportional to 171,694.87, 257,507.23 and 65,042.06

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Solution

The fourth proportional to 171,694.87, 257,507.23 and 65,042.06 is: 97,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.87 : 257,507.23 = 65,042.06 : x
  2. Step 2: Convert to fraction form
    171,694.87/257,507.23 = 65,042.06/x
  3. Step 3: Cross multiply
    171,694.87x = 257,507.23 × 65,042.06
  4. Step 4: Simplify right side
    171,694.87x = 16,748,799,253.95
  5. Step 5: Solve for x
    x = 16,748,799,253.95/171,694.87
  6. Step 6: Final answer
    x = 97,549.80

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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.