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Finding the Fourth Proportional to 121,250.16, 181,903.32 and 38,142

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Solution

The fourth proportional to 121,250.16, 181,903.32 and 38,142 is: 57,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,250.16 : 181,903.32 = 38,142 : x
  2. Step 2: Convert to fraction form
    121,250.16/181,903.32 = 38,142/x
  3. Step 3: Cross multiply
    121,250.16x = 181,903.32 × 38,142
  4. Step 4: Simplify right side
    121,250.16x = 6,938,156,431.44
  5. Step 5: Solve for x
    x = 6,938,156,431.44/121,250.16
  6. Step 6: Final answer
    x = 57,221.83

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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.