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Finding the Fourth Proportional to 177,957.09, 266,959.12 and 65,716.20

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Solution

The fourth proportional to 177,957.09, 266,959.12 and 65,716.20 is: 98,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,957.09 : 266,959.12 = 65,716.20 : x
  2. Step 2: Convert to fraction form
    177,957.09/266,959.12 = 65,716.20/x
  3. Step 3: Cross multiply
    177,957.09x = 266,959.12 × 65,716.20
  4. Step 4: Simplify right side
    177,957.09x = 17,543,538,921.74
  5. Step 5: Solve for x
    x = 17,543,538,921.74/177,957.09
  6. Step 6: Final answer
    x = 98,582.97

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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.