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Finding the Fourth Proportional to 278,214.88, 417,314.88 and 78,549.04

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Solution

The fourth proportional to 278,214.88, 417,314.88 and 78,549.04 is: 117,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,214.88 : 417,314.88 = 78,549.04 : x
  2. Step 2: Convert to fraction form
    278,214.88/417,314.88 = 78,549.04/x
  3. Step 3: Cross multiply
    278,214.88x = 417,314.88 × 78,549.04
  4. Step 4: Simplify right side
    278,214.88x = 32,779,683,201.72
  5. Step 5: Solve for x
    x = 32,779,683,201.72/278,214.88
  6. Step 6: Final answer
    x = 117,821.46

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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.