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Finding the Fourth Proportional to 177,861.32, 245,531.34 and 105,241.38

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Solution

The fourth proportional to 177,861.32, 245,531.34 and 105,241.38 is: 145,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,861.32 : 245,531.34 = 105,241.38 : x
  2. Step 2: Convert to fraction form
    177,861.32/245,531.34 = 105,241.38/x
  3. Step 3: Cross multiply
    177,861.32x = 245,531.34 × 105,241.38
  4. Step 4: Simplify right side
    177,861.32x = 25,840,055,739.45
  5. Step 5: Solve for x
    x = 25,840,055,739.45/177,861.32
  6. Step 6: Final answer
    x = 145,282.04

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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.