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Finding the Fourth Proportional to 278,334.04, 417,523.62 and 78,656.08

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Solution

The fourth proportional to 278,334.04, 417,523.62 and 78,656.08 is: 117,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,334.04 : 417,523.62 = 78,656.08 : x
  2. Step 2: Convert to fraction form
    278,334.04/417,523.62 = 78,656.08/x
  3. Step 3: Cross multiply
    278,334.04x = 417,523.62 × 78,656.08
  4. Step 4: Simplify right side
    278,334.04x = 32,840,771,256.61
  5. Step 5: Solve for x
    x = 32,840,771,256.61/278,334.04
  6. Step 6: Final answer
    x = 117,990.50

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Why These Related Problems?

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