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Finding the Fourth Proportional to 148,407.76, 204,829.02 and 112,537.30

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Solution

The fourth proportional to 148,407.76, 204,829.02 and 112,537.30 is: 155,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,407.76 : 204,829.02 = 112,537.30 : x
  2. Step 2: Convert to fraction form
    148,407.76/204,829.02 = 112,537.30/x
  3. Step 3: Cross multiply
    148,407.76x = 204,829.02 × 112,537.30
  4. Step 4: Simplify right side
    148,407.76x = 23,050,904,872.45
  5. Step 5: Solve for x
    x = 23,050,904,872.45/148,407.76
  6. Step 6: Final answer
    x = 155,321.43

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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.