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Finding the Fourth Proportional to 78,200.92, 107,917.44 and 42,390.88

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Solution

The fourth proportional to 78,200.92, 107,917.44 and 42,390.88 is: 58,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.92 : 107,917.44 = 42,390.88 : x
  2. Step 2: Convert to fraction form
    78,200.92/107,917.44 = 42,390.88/x
  3. Step 3: Cross multiply
    78,200.92x = 107,917.44 × 42,390.88
  4. Step 4: Simplify right side
    78,200.92x = 4,574,715,248.95
  5. Step 5: Solve for x
    x = 4,574,715,248.95/78,200.92
  6. Step 6: Final answer
    x = 58,499.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.