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Finding the Fourth Proportional to 171,421.71, 257,298.42 and 82,737.63

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Solution

The fourth proportional to 171,421.71, 257,298.42 and 82,737.63 is: 124,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421.71 : 257,298.42 = 82,737.63 : x
  2. Step 2: Convert to fraction form
    171,421.71/257,298.42 = 82,737.63/x
  3. Step 3: Cross multiply
    171,421.71x = 257,298.42 × 82,737.63
  4. Step 4: Simplify right side
    171,421.71x = 21,288,261,473.54
  5. Step 5: Solve for x
    x = 21,288,261,473.54/171,421.71
  6. Step 6: Final answer
    x = 124,186.50

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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.