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Finding the Fourth Proportional to 177,049.64, 265,565.82 and 66,233

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Solution

The fourth proportional to 177,049.64, 265,565.82 and 66,233 is: 99,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,049.64 : 265,565.82 = 66,233 : x
  2. Step 2: Convert to fraction form
    177,049.64/265,565.82 = 66,233/x
  3. Step 3: Cross multiply
    177,049.64x = 265,565.82 × 66,233
  4. Step 4: Simplify right side
    177,049.64x = 17,589,220,956.06
  5. Step 5: Solve for x
    x = 17,589,220,956.06/177,049.64
  6. Step 6: Final answer
    x = 99,346.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.