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Finding the Fourth Proportional to 283,734, 391,555.62 and 156,414.16

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Solution

The fourth proportional to 283,734, 391,555.62 and 156,414.16 is: 215,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,734 : 391,555.62 = 156,414.16 : x
  2. Step 2: Convert to fraction form
    283,734/391,555.62 = 156,414.16/x
  3. Step 3: Cross multiply
    283,734x = 391,555.62 × 156,414.16
  4. Step 4: Simplify right side
    283,734x = 61,244,843,395.58
  5. Step 5: Solve for x
    x = 61,244,843,395.58/283,734
  6. Step 6: Final answer
    x = 215,853.03

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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.