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Finding the Fourth Proportional to 121,145, 181,724.80 and 38,039

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Solution

The fourth proportional to 121,145, 181,724.80 and 38,039 is: 57,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,145 : 181,724.80 = 38,039 : x
  2. Step 2: Convert to fraction form
    121,145/181,724.80 = 38,039/x
  3. Step 3: Cross multiply
    121,145x = 181,724.80 × 38,039
  4. Step 4: Simplify right side
    121,145x = 6,912,629,667.20
  5. Step 5: Solve for x
    x = 6,912,629,667.20/121,145
  6. Step 6: Final answer
    x = 57,060.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.