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Finding the Fourth Proportional to 177,202.60, 265,712.10 and 52,527.40

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Solution

The fourth proportional to 177,202.60, 265,712.10 and 52,527.40 is: 78,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,202.60 : 265,712.10 = 52,527.40 : x
  2. Step 2: Convert to fraction form
    177,202.60/265,712.10 = 52,527.40/x
  3. Step 3: Cross multiply
    177,202.60x = 265,712.10 × 52,527.40
  4. Step 4: Simplify right side
    177,202.60x = 13,957,165,761.54
  5. Step 5: Solve for x
    x = 13,957,165,761.54/177,202.60
  6. Step 6: Final answer
    x = 78,763.89

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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.