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Finding the Fourth Proportional to 177,916.47, 266,832.78 and 65,535.66

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Solution

The fourth proportional to 177,916.47, 266,832.78 and 65,535.66 is: 98,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,916.47 : 266,832.78 = 65,535.66 : x
  2. Step 2: Convert to fraction form
    177,916.47/266,832.78 = 65,535.66/x
  3. Step 3: Cross multiply
    177,916.47x = 266,832.78 × 65,535.66
  4. Step 4: Simplify right side
    177,916.47x = 17,487,062,346.93
  5. Step 5: Solve for x
    x = 17,487,062,346.93/177,916.47
  6. Step 6: Final answer
    x = 98,288.05

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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.