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Finding the Fourth Proportional to 212,766.40, 319,149.60 and 129,822.40

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Solution

The fourth proportional to 212,766.40, 319,149.60 and 129,822.40 is: 194,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,766.40 : 319,149.60 = 129,822.40 : x
  2. Step 2: Convert to fraction form
    212,766.40/319,149.60 = 129,822.40/x
  3. Step 3: Cross multiply
    212,766.40x = 319,149.60 × 129,822.40
  4. Step 4: Simplify right side
    212,766.40x = 41,432,767,031.04
  5. Step 5: Solve for x
    x = 41,432,767,031.04/212,766.40
  6. Step 6: Final answer
    x = 194,733.60

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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.