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Finding the Fourth Proportional to 171,818.56, 257,624.24 and 77,031.60

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Solution

The fourth proportional to 171,818.56, 257,624.24 and 77,031.60 is: 115,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,818.56 : 257,624.24 = 77,031.60 : x
  2. Step 2: Convert to fraction form
    171,818.56/257,624.24 = 77,031.60/x
  3. Step 3: Cross multiply
    171,818.56x = 257,624.24 × 77,031.60
  4. Step 4: Simplify right side
    171,818.56x = 19,845,207,405.98
  5. Step 5: Solve for x
    x = 19,845,207,405.98/171,818.56
  6. Step 6: Final answer
    x = 115,500.95

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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.