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Finding the Fourth Proportional to 278,207.04, 417,314.88 and 67,848.96

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Solution

The fourth proportional to 278,207.04, 417,314.88 and 67,848.96 is: 101,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,207.04 : 417,314.88 = 67,848.96 : x
  2. Step 2: Convert to fraction form
    278,207.04/417,314.88 = 67,848.96/x
  3. Step 3: Cross multiply
    278,207.04x = 417,314.88 × 67,848.96
  4. Step 4: Simplify right side
    278,207.04x = 28,314,380,600.52
  5. Step 5: Solve for x
    x = 28,314,380,600.52/278,207.04
  6. Step 6: Final answer
    x = 101,774.49

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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.