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Finding the Fourth Proportional to 177,181.80, 265,772.70 and 102,301.80

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Solution

The fourth proportional to 177,181.80, 265,772.70 and 102,301.80 is: 153,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,181.80 : 265,772.70 = 102,301.80 : x
  2. Step 2: Convert to fraction form
    177,181.80/265,772.70 = 102,301.80/x
  3. Step 3: Cross multiply
    177,181.80x = 265,772.70 × 102,301.80
  4. Step 4: Simplify right side
    177,181.80x = 27,189,025,600.86
  5. Step 5: Solve for x
    x = 27,189,025,600.86/177,181.80
  6. Step 6: Final answer
    x = 153,452.70

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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.