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Finding the Fourth Proportional to 121,254.84, 181,902.51 and 54,693.50

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Solution

The fourth proportional to 121,254.84, 181,902.51 and 54,693.50 is: 82,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,254.84 : 181,902.51 = 54,693.50 : x
  2. Step 2: Convert to fraction form
    121,254.84/181,902.51 = 54,693.50/x
  3. Step 3: Cross multiply
    121,254.84x = 181,902.51 × 54,693.50
  4. Step 4: Simplify right side
    121,254.84x = 9,948,884,021.17
  5. Step 5: Solve for x
    x = 9,948,884,021.17/121,254.84
  6. Step 6: Final answer
    x = 82,049.38

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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.