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Finding the Fourth Proportional to 212,876.26, 319,314.40 and 86,585.20

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Solution

The fourth proportional to 212,876.26, 319,314.40 and 86,585.20 is: 129,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,876.26 : 319,314.40 = 86,585.20 : x
  2. Step 2: Convert to fraction form
    212,876.26/319,314.40 = 86,585.20/x
  3. Step 3: Cross multiply
    212,876.26x = 319,314.40 × 86,585.20
  4. Step 4: Simplify right side
    212,876.26x = 27,647,901,186.88
  5. Step 5: Solve for x
    x = 27,647,901,186.88/212,876.26
  6. Step 6: Final answer
    x = 129,877.80

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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.