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Finding the Fourth Proportional to 121,142.50, 181,721.04 and 38,036.50

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Solution

The fourth proportional to 121,142.50, 181,721.04 and 38,036.50 is: 57,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.50 : 181,721.04 = 38,036.50 : x
  2. Step 2: Convert to fraction form
    121,142.50/181,721.04 = 38,036.50/x
  3. Step 3: Cross multiply
    121,142.50x = 181,721.04 × 38,036.50
  4. Step 4: Simplify right side
    121,142.50x = 6,912,032,337.96
  5. Step 5: Solve for x
    x = 6,912,032,337.96/121,142.50
  6. Step 6: Final answer
    x = 57,057.04

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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.