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Finding the Fourth Proportional to 160,935.41, 222,080.51 and 100,502.42

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Solution

The fourth proportional to 160,935.41, 222,080.51 and 100,502.42 is: 138,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,935.41 : 222,080.51 = 100,502.42 : x
  2. Step 2: Convert to fraction form
    160,935.41/222,080.51 = 100,502.42/x
  3. Step 3: Cross multiply
    160,935.41x = 222,080.51 × 100,502.42
  4. Step 4: Simplify right side
    160,935.41x = 22,319,627,883.38
  5. Step 5: Solve for x
    x = 22,319,627,883.38/160,935.41
  6. Step 6: Final answer
    x = 138,686.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.