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Finding the Fourth Proportional to 212,766.92, 319,158.48 and 79,633.16

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Solution

The fourth proportional to 212,766.92, 319,158.48 and 79,633.16 is: 119,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,766.92 : 319,158.48 = 79,633.16 : x
  2. Step 2: Convert to fraction form
    212,766.92/319,158.48 = 79,633.16/x
  3. Step 3: Cross multiply
    212,766.92x = 319,158.48 × 79,633.16
  4. Step 4: Simplify right side
    212,766.92x = 25,415,598,303.20
  5. Step 5: Solve for x
    x = 25,415,598,303.20/212,766.92
  6. Step 6: Final answer
    x = 119,452.77

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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.