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Finding the Fourth Proportional to 181,993.14, 251,151.54 and 105,557.52

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Solution

The fourth proportional to 181,993.14, 251,151.54 and 105,557.52 is: 145,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,993.14 : 251,151.54 = 105,557.52 : x
  2. Step 2: Convert to fraction form
    181,993.14/251,151.54 = 105,557.52/x
  3. Step 3: Cross multiply
    181,993.14x = 251,151.54 × 105,557.52
  4. Step 4: Simplify right side
    181,993.14x = 26,510,933,706.58
  5. Step 5: Solve for x
    x = 26,510,933,706.58/181,993.14
  6. Step 6: Final answer
    x = 145,669.96

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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.