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Finding the Fourth Proportional to 283,382.50, 391,070.50 and 156,059

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Solution

The fourth proportional to 283,382.50, 391,070.50 and 156,059 is: 215,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,382.50 : 391,070.50 = 156,059 : x
  2. Step 2: Convert to fraction form
    283,382.50/391,070.50 = 156,059/x
  3. Step 3: Cross multiply
    283,382.50x = 391,070.50 × 156,059
  4. Step 4: Simplify right side
    283,382.50x = 61,030,071,159.50
  5. Step 5: Solve for x
    x = 61,030,071,159.50/283,382.50
  6. Step 6: Final answer
    x = 215,362.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.