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Finding the Fourth Proportional to 181,213.94, 250,073.78 and 99,543.54

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Solution

The fourth proportional to 181,213.94, 250,073.78 and 99,543.54 is: 137,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,213.94 : 250,073.78 = 99,543.54 : x
  2. Step 2: Convert to fraction form
    181,213.94/250,073.78 = 99,543.54/x
  3. Step 3: Cross multiply
    181,213.94x = 250,073.78 × 99,543.54
  4. Step 4: Simplify right side
    181,213.94x = 24,893,229,322.38
  5. Step 5: Solve for x
    x = 24,893,229,322.38/181,213.94
  6. Step 6: Final answer
    x = 137,369.28

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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.