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Finding the Fourth Proportional to 278,344.50, 417,588.06 and 91,357.62

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Solution

The fourth proportional to 278,344.50, 417,588.06 and 91,357.62 is: 137,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,344.50 : 417,588.06 = 91,357.62 : x
  2. Step 2: Convert to fraction form
    278,344.50/417,588.06 = 91,357.62/x
  3. Step 3: Cross multiply
    278,344.50x = 417,588.06 × 91,357.62
  4. Step 4: Simplify right side
    278,344.50x = 38,149,851,302.02
  5. Step 5: Solve for x
    x = 38,149,851,302.02/278,344.50
  6. Step 6: Final answer
    x = 137,059.84

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