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Finding the Fourth Proportional to 120,717.95, 181,108.31 and 45,838.51

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Solution

The fourth proportional to 120,717.95, 181,108.31 and 45,838.51 is: 68,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.95 : 181,108.31 = 45,838.51 : x
  2. Step 2: Convert to fraction form
    120,717.95/181,108.31 = 45,838.51/x
  3. Step 3: Cross multiply
    120,717.95x = 181,108.31 × 45,838.51
  4. Step 4: Simplify right side
    120,717.95x = 8,301,734,397.05
  5. Step 5: Solve for x
    x = 8,301,734,397.05/120,717.95
  6. Step 6: Final answer
    x = 68,769.68

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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.