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Finding the Fourth Proportional to 220,200.32, 303,871.30 and 129,562.16

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Solution

The fourth proportional to 220,200.32, 303,871.30 and 129,562.16 is: 178,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,200.32 : 303,871.30 = 129,562.16 : x
  2. Step 2: Convert to fraction form
    220,200.32/303,871.30 = 129,562.16/x
  3. Step 3: Cross multiply
    220,200.32x = 303,871.30 × 129,562.16
  4. Step 4: Simplify right side
    220,200.32x = 39,370,221,001.38
  5. Step 5: Solve for x
    x = 39,370,221,001.38/220,200.32
  6. Step 6: Final answer
    x = 178,792.75

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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.