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Finding the Fourth Proportional to 177,930.86, 266,724.83 and 65,549.68

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Solution

The fourth proportional to 177,930.86, 266,724.83 and 65,549.68 is: 98,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,930.86 : 266,724.83 = 65,549.68 : x
  2. Step 2: Convert to fraction form
    177,930.86/266,724.83 = 65,549.68/x
  3. Step 3: Cross multiply
    177,930.86x = 266,724.83 × 65,549.68
  4. Step 4: Simplify right side
    177,930.86x = 17,483,726,751.62
  5. Step 5: Solve for x
    x = 17,483,726,751.62/177,930.86
  6. Step 6: Final answer
    x = 98,261.35

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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.