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Finding the Fourth Proportional to 181,238.09, 250,111.65 and 99,569.78

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Solution

The fourth proportional to 181,238.09, 250,111.65 and 99,569.78 is: 137,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,238.09 : 250,111.65 = 99,569.78 : x
  2. Step 2: Convert to fraction form
    181,238.09/250,111.65 = 99,569.78/x
  3. Step 3: Cross multiply
    181,238.09x = 250,111.65 × 99,569.78
  4. Step 4: Simplify right side
    181,238.09x = 24,903,561,965.94
  5. Step 5: Solve for x
    x = 24,903,561,965.94/181,238.09
  6. Step 6: Final answer
    x = 137,407.99

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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.