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Finding the Fourth Proportional to 121,146.68, 181,631.32 and 57,083

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Solution

The fourth proportional to 121,146.68, 181,631.32 and 57,083 is: 85,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146.68 : 181,631.32 = 57,083 : x
  2. Step 2: Convert to fraction form
    121,146.68/181,631.32 = 57,083/x
  3. Step 3: Cross multiply
    121,146.68x = 181,631.32 × 57,083
  4. Step 4: Simplify right side
    121,146.68x = 10,368,060,639.56
  5. Step 5: Solve for x
    x = 10,368,060,639.56/121,146.68
  6. Step 6: Final answer
    x = 85,582.71

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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.