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Finding the Fourth Proportional to 177,085.60, 264,850.80 and 135,095.20

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Solution

The fourth proportional to 177,085.60, 264,850.80 and 135,095.20 is: 202,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,085.60 : 264,850.80 = 135,095.20 : x
  2. Step 2: Convert to fraction form
    177,085.60/264,850.80 = 135,095.20/x
  3. Step 3: Cross multiply
    177,085.60x = 264,850.80 × 135,095.20
  4. Step 4: Simplify right side
    177,085.60x = 35,780,071,796.16
  5. Step 5: Solve for x
    x = 35,780,071,796.16/177,085.60
  6. Step 6: Final answer
    x = 202,049.58

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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.