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Finding the Fourth Proportional to 231,774.68, 347,716.28 and 71,842.28

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Solution

The fourth proportional to 231,774.68, 347,716.28 and 71,842.28 is: 107,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774.68 : 347,716.28 = 71,842.28 : x
  2. Step 2: Convert to fraction form
    231,774.68/347,716.28 = 71,842.28/x
  3. Step 3: Cross multiply
    231,774.68x = 347,716.28 × 71,842.28
  4. Step 4: Simplify right side
    231,774.68x = 24,980,730,348.32
  5. Step 5: Solve for x
    x = 24,980,730,348.32/231,774.68
  6. Step 6: Final answer
    x = 107,780.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.