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Finding the Fourth Proportional to 177,200.75, 244,531.64 and 100,728.20

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Solution

The fourth proportional to 177,200.75, 244,531.64 and 100,728.20 is: 139,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,200.75 : 244,531.64 = 100,728.20 : x
  2. Step 2: Convert to fraction form
    177,200.75/244,531.64 = 100,728.20/x
  3. Step 3: Cross multiply
    177,200.75x = 244,531.64 × 100,728.20
  4. Step 4: Simplify right side
    177,200.75x = 24,631,232,803.40
  5. Step 5: Solve for x
    x = 24,631,232,803.40/177,200.75
  6. Step 6: Final answer
    x = 139,001.85

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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.