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Finding the Fourth Proportional to 283,233.38, 390,862.06 and 155,908.97

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Solution

The fourth proportional to 283,233.38, 390,862.06 and 155,908.97 is: 215,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,233.38 : 390,862.06 = 155,908.97 : x
  2. Step 2: Convert to fraction form
    283,233.38/390,862.06 = 155,908.97/x
  3. Step 3: Cross multiply
    283,233.38x = 390,862.06 × 155,908.97
  4. Step 4: Simplify right side
    283,233.38x = 60,938,900,407.13
  5. Step 5: Solve for x
    x = 60,938,900,407.13/283,233.38
  6. Step 6: Final answer
    x = 215,154.38

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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.