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Finding the Fourth Proportional to 177,241.60, 265,771.20 and 52,566.40

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Solution

The fourth proportional to 177,241.60, 265,771.20 and 52,566.40 is: 78,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,241.60 : 265,771.20 = 52,566.40 : x
  2. Step 2: Convert to fraction form
    177,241.60/265,771.20 = 52,566.40/x
  3. Step 3: Cross multiply
    177,241.60x = 265,771.20 × 52,566.40
  4. Step 4: Simplify right side
    177,241.60x = 13,970,635,207.68
  5. Step 5: Solve for x
    x = 13,970,635,207.68/177,241.60
  6. Step 6: Final answer
    x = 78,822.55

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Why These Related Problems?

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