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Finding the Fourth Proportional to 278,493.57, 417,762.43 and 78,815.21

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Solution

The fourth proportional to 278,493.57, 417,762.43 and 78,815.21 is: 118,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,493.57 : 417,762.43 = 78,815.21 : x
  2. Step 2: Convert to fraction form
    278,493.57/417,762.43 = 78,815.21/x
  3. Step 3: Cross multiply
    278,493.57x = 417,762.43 × 78,815.21
  4. Step 4: Simplify right side
    278,493.57x = 32,926,031,364.71
  5. Step 5: Solve for x
    x = 32,926,031,364.71/278,493.57
  6. Step 6: Final answer
    x = 118,229.05

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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.