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Finding the Fourth Proportional to 78,200.39, 117,275.81 and 28,273.88

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Solution

The fourth proportional to 78,200.39, 117,275.81 and 28,273.88 is: 42,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.39 : 117,275.81 = 28,273.88 : x
  2. Step 2: Convert to fraction form
    78,200.39/117,275.81 = 28,273.88/x
  3. Step 3: Cross multiply
    78,200.39x = 117,275.81 × 28,273.88
  4. Step 4: Simplify right side
    78,200.39x = 3,315,842,178.84
  5. Step 5: Solve for x
    x = 3,315,842,178.84/78,200.39
  6. Step 6: Final answer
    x = 42,401.86

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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.