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Finding the Fourth Proportional to 208,478.40, 312,717.60 and 68,251.20

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Solution

The fourth proportional to 208,478.40, 312,717.60 and 68,251.20 is: 102,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478.40 : 312,717.60 = 68,251.20 : x
  2. Step 2: Convert to fraction form
    208,478.40/312,717.60 = 68,251.20/x
  3. Step 3: Cross multiply
    208,478.40x = 312,717.60 × 68,251.20
  4. Step 4: Simplify right side
    208,478.40x = 21,343,351,461.12
  5. Step 5: Solve for x
    x = 21,343,351,461.12/208,478.40
  6. Step 6: Final answer
    x = 102,376.80

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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.