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Finding the Fourth Proportional to 283,754.96, 391,584.56 and 156,435.11

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Solution

The fourth proportional to 283,754.96, 391,584.56 and 156,435.11 is: 215,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,754.96 : 391,584.56 = 156,435.11 : x
  2. Step 2: Convert to fraction form
    283,754.96/391,584.56 = 156,435.11/x
  3. Step 3: Cross multiply
    283,754.96x = 391,584.56 × 156,435.11
  4. Step 4: Simplify right side
    283,754.96x = 61,257,570,977.80
  5. Step 5: Solve for x
    x = 61,257,570,977.80/283,754.96
  6. Step 6: Final answer
    x = 215,881.94

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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.