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Finding the Fourth Proportional to 182,217.12, 251,461.52 and 101,652

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Solution

The fourth proportional to 182,217.12, 251,461.52 and 101,652 is: 140,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,217.12 : 251,461.52 = 101,652 : x
  2. Step 2: Convert to fraction form
    182,217.12/251,461.52 = 101,652/x
  3. Step 3: Cross multiply
    182,217.12x = 251,461.52 × 101,652
  4. Step 4: Simplify right side
    182,217.12x = 25,561,566,431.04
  5. Step 5: Solve for x
    x = 25,561,566,431.04/182,217.12
  6. Step 6: Final answer
    x = 140,280.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.