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Finding the Fourth Proportional to 278,523.20, 417,784.80 and 78,840.99

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Solution

The fourth proportional to 278,523.20, 417,784.80 and 78,840.99 is: 118,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523.20 : 417,784.80 = 78,840.99 : x
  2. Step 2: Convert to fraction form
    278,523.20/417,784.80 = 78,840.99/x
  3. Step 3: Cross multiply
    278,523.20x = 417,784.80 × 78,840.99
  4. Step 4: Simplify right side
    278,523.20x = 32,938,567,238.95
  5. Step 5: Solve for x
    x = 32,938,567,238.95/278,523.20
  6. Step 6: Final answer
    x = 118,261.49

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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.