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Finding the Fourth Proportional to 119,920.75, 179,849.77 and 35,658.22

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Solution

The fourth proportional to 119,920.75, 179,849.77 and 35,658.22 is: 53,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920.75 : 179,849.77 = 35,658.22 : x
  2. Step 2: Convert to fraction form
    119,920.75/179,849.77 = 35,658.22/x
  3. Step 3: Cross multiply
    119,920.75x = 179,849.77 × 35,658.22
  4. Step 4: Simplify right side
    119,920.75x = 6,413,122,665.61
  5. Step 5: Solve for x
    x = 6,413,122,665.61/119,920.75
  6. Step 6: Final answer
    x = 53,478.01

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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.