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Finding the Fourth Proportional to 108,223.52, 162,335.28 and 52,772

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Solution

The fourth proportional to 108,223.52, 162,335.28 and 52,772 is: 79,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,223.52 : 162,335.28 = 52,772 : x
  2. Step 2: Convert to fraction form
    108,223.52/162,335.28 = 52,772/x
  3. Step 3: Cross multiply
    108,223.52x = 162,335.28 × 52,772
  4. Step 4: Simplify right side
    108,223.52x = 8,566,757,396.16
  5. Step 5: Solve for x
    x = 8,566,757,396.16/108,223.52
  6. Step 6: Final answer
    x = 79,158

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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.