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Finding the Fourth Proportional to 283,978.10, 391,891.88 and 156,658.25

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Solution

The fourth proportional to 283,978.10, 391,891.88 and 156,658.25 is: 216,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,978.10 : 391,891.88 = 156,658.25 : x
  2. Step 2: Convert to fraction form
    283,978.10/391,891.88 = 156,658.25/x
  3. Step 3: Cross multiply
    283,978.10x = 391,891.88 × 156,658.25
  4. Step 4: Simplify right side
    283,978.10x = 61,393,097,481.39
  5. Step 5: Solve for x
    x = 61,393,097,481.39/283,978.10
  6. Step 6: Final answer
    x = 216,189.55

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1.5x scale

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.