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Finding the Fourth Proportional to 147,778.20, 203,938.80 and 80,710.20

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Solution

The fourth proportional to 147,778.20, 203,938.80 and 80,710.20 is: 111,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,778.20 : 203,938.80 = 80,710.20 : x
  2. Step 2: Convert to fraction form
    147,778.20/203,938.80 = 80,710.20/x
  3. Step 3: Cross multiply
    147,778.20x = 203,938.80 × 80,710.20
  4. Step 4: Simplify right side
    147,778.20x = 16,459,941,335.76
  5. Step 5: Solve for x
    x = 16,459,941,335.76/147,778.20
  6. Step 6: Final answer
    x = 111,382.74

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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.