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Finding the Fourth Proportional to 212,714.40, 319,071.60 and 106,426.20

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Solution

The fourth proportional to 212,714.40, 319,071.60 and 106,426.20 is: 159,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,714.40 : 319,071.60 = 106,426.20 : x
  2. Step 2: Convert to fraction form
    212,714.40/319,071.60 = 106,426.20/x
  3. Step 3: Cross multiply
    212,714.40x = 319,071.60 × 106,426.20
  4. Step 4: Simplify right side
    212,714.40x = 33,957,577,915.92
  5. Step 5: Solve for x
    x = 33,957,577,915.92/212,714.40
  6. Step 6: Final answer
    x = 159,639.30

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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.