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Finding the Fourth Proportional to 177,154.20, 265,734.42 and 52,498.20

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Solution

The fourth proportional to 177,154.20, 265,734.42 and 52,498.20 is: 78,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,154.20 : 265,734.42 = 52,498.20 : x
  2. Step 2: Convert to fraction form
    177,154.20/265,734.42 = 52,498.20/x
  3. Step 3: Cross multiply
    177,154.20x = 265,734.42 × 52,498.20
  4. Step 4: Simplify right side
    177,154.20x = 13,950,578,728.04
  5. Step 5: Solve for x
    x = 13,950,578,728.04/177,154.20
  6. Step 6: Final answer
    x = 78,748.22

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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.