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Finding the Fourth Proportional to 283,391.53, 391,084.01 and 156,076.54

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Solution

The fourth proportional to 283,391.53, 391,084.01 and 156,076.54 is: 215,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,391.53 : 391,084.01 = 156,076.54 : x
  2. Step 2: Convert to fraction form
    283,391.53/391,084.01 = 156,076.54/x
  3. Step 3: Cross multiply
    283,391.53x = 391,084.01 × 156,076.54
  4. Step 4: Simplify right side
    283,391.53x = 61,039,039,130.13
  5. Step 5: Solve for x
    x = 61,039,039,130.13/283,391.53
  6. Step 6: Final answer
    x = 215,387.66

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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.