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Finding the Fourth Proportional to 171,822.30, 257,671.65 and 59,472

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Solution

The fourth proportional to 171,822.30, 257,671.65 and 59,472 is: 89,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,822.30 : 257,671.65 = 59,472 : x
  2. Step 2: Convert to fraction form
    171,822.30/257,671.65 = 59,472/x
  3. Step 3: Cross multiply
    171,822.30x = 257,671.65 × 59,472
  4. Step 4: Simplify right side
    171,822.30x = 15,324,248,368.80
  5. Step 5: Solve for x
    x = 15,324,248,368.80/171,822.30
  6. Step 6: Final answer
    x = 89,186.61

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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.