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Finding the Fourth Proportional to 148,472.13, 204,837.84 and 97,512.46

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Solution

The fourth proportional to 148,472.13, 204,837.84 and 97,512.46 is: 134,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,472.13 : 204,837.84 = 97,512.46 : x
  2. Step 2: Convert to fraction form
    148,472.13/204,837.84 = 97,512.46/x
  3. Step 3: Cross multiply
    148,472.13x = 204,837.84 × 97,512.46
  4. Step 4: Simplify right side
    148,472.13x = 19,974,242,189.38
  5. Step 5: Solve for x
    x = 19,974,242,189.38/148,472.13
  6. Step 6: Final answer
    x = 134,531.93

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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.