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Finding the Fourth Proportional to 147,761.20, 221,329.80 and 97,865.20

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Solution

The fourth proportional to 147,761.20, 221,329.80 and 97,865.20 is: 146,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,761.20 : 221,329.80 = 97,865.20 : x
  2. Step 2: Convert to fraction form
    147,761.20/221,329.80 = 97,865.20/x
  3. Step 3: Cross multiply
    147,761.20x = 221,329.80 × 97,865.20
  4. Step 4: Simplify right side
    147,761.20x = 21,660,485,142.96
  5. Step 5: Solve for x
    x = 21,660,485,142.96/147,761.20
  6. Step 6: Final answer
    x = 146,591.16

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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.