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Finding the Fourth Proportional to 120,871.69, 181,245.25 and 54,254.76

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Solution

The fourth proportional to 120,871.69, 181,245.25 and 54,254.76 is: 81,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,871.69 : 181,245.25 = 54,254.76 : x
  2. Step 2: Convert to fraction form
    120,871.69/181,245.25 = 54,254.76/x
  3. Step 3: Cross multiply
    120,871.69x = 181,245.25 × 54,254.76
  4. Step 4: Simplify right side
    120,871.69x = 9,833,417,539.89
  5. Step 5: Solve for x
    x = 9,833,417,539.89/120,871.69
  6. Step 6: Final answer
    x = 81,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.