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Finding the Fourth Proportional to 177,047.56, 265,668.56 and 83,550.88

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Solution

The fourth proportional to 177,047.56, 265,668.56 and 83,550.88 is: 125,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,047.56 : 265,668.56 = 83,550.88 : x
  2. Step 2: Convert to fraction form
    177,047.56/265,668.56 = 83,550.88/x
  3. Step 3: Cross multiply
    177,047.56x = 265,668.56 × 83,550.88
  4. Step 4: Simplify right side
    177,047.56x = 22,196,841,976.33
  5. Step 5: Solve for x
    x = 22,196,841,976.33/177,047.56
  6. Step 6: Final answer
    x = 125,372.20

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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.