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Finding the Fourth Proportional to 177,561.12, 266,332.62 and 65,232.72

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Solution

The fourth proportional to 177,561.12, 266,332.62 and 65,232.72 is: 97,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,561.12 : 266,332.62 = 65,232.72 : x
  2. Step 2: Convert to fraction form
    177,561.12/266,332.62 = 65,232.72/x
  3. Step 3: Cross multiply
    177,561.12x = 266,332.62 × 65,232.72
  4. Step 4: Simplify right side
    177,561.12x = 17,373,601,227.33
  5. Step 5: Solve for x
    x = 17,373,601,227.33/177,561.12
  6. Step 6: Final answer
    x = 97,845.75

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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.