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Finding the Fourth Proportional to 177,001.77, 265,358.62 and 82,291.68

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Solution

The fourth proportional to 177,001.77, 265,358.62 and 82,291.68 is: 123,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,001.77 : 265,358.62 = 82,291.68 : x
  2. Step 2: Convert to fraction form
    177,001.77/265,358.62 = 82,291.68/x
  3. Step 3: Cross multiply
    177,001.77x = 265,358.62 × 82,291.68
  4. Step 4: Simplify right side
    177,001.77x = 21,836,807,748.91
  5. Step 5: Solve for x
    x = 21,836,807,748.91/177,001.77
  6. Step 6: Final answer
    x = 123,370.56

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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.