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Finding the Fourth Proportional to 120,833.34, 181,320.22 and 49,763.13

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Solution

The fourth proportional to 120,833.34, 181,320.22 and 49,763.13 is: 74,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833.34 : 181,320.22 = 49,763.13 : x
  2. Step 2: Convert to fraction form
    120,833.34/181,320.22 = 49,763.13/x
  3. Step 3: Cross multiply
    120,833.34x = 181,320.22 × 49,763.13
  4. Step 4: Simplify right side
    120,833.34x = 9,023,061,061.74
  5. Step 5: Solve for x
    x = 9,023,061,061.74/120,833.34
  6. Step 6: Final answer
    x = 74,673.61

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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.