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Finding the Fourth Proportional to 177,194.60, 265,843.10 and 52,538.60

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Solution

The fourth proportional to 177,194.60, 265,843.10 and 52,538.60 is: 78,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,194.60 : 265,843.10 = 52,538.60 : x
  2. Step 2: Convert to fraction form
    177,194.60/265,843.10 = 52,538.60/x
  3. Step 3: Cross multiply
    177,194.60x = 265,843.10 × 52,538.60
  4. Step 4: Simplify right side
    177,194.60x = 13,967,024,293.66
  5. Step 5: Solve for x
    x = 13,967,024,293.66/177,194.60
  6. Step 6: Final answer
    x = 78,823.08

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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.