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Finding the Fourth Proportional to 269,510.40, 371,926.13 and 148,654.97

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Solution

The fourth proportional to 269,510.40, 371,926.13 and 148,654.97 is: 205,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,510.40 : 371,926.13 = 148,654.97 : x
  2. Step 2: Convert to fraction form
    269,510.40/371,926.13 = 148,654.97/x
  3. Step 3: Cross multiply
    269,510.40x = 371,926.13 × 148,654.97
  4. Step 4: Simplify right side
    269,510.40x = 55,288,665,094.46
  5. Step 5: Solve for x
    x = 55,288,665,094.46/269,510.40
  6. Step 6: Final answer
    x = 205,144.83

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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.