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Finding the Fourth Proportional to 208,895.80, 313,343.70 and 159,129.40

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Solution

The fourth proportional to 208,895.80, 313,343.70 and 159,129.40 is: 238,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,895.80 : 313,343.70 = 159,129.40 : x
  2. Step 2: Convert to fraction form
    208,895.80/313,343.70 = 159,129.40/x
  3. Step 3: Cross multiply
    208,895.80x = 313,343.70 × 159,129.40
  4. Step 4: Simplify right side
    208,895.80x = 49,862,194,974.78
  5. Step 5: Solve for x
    x = 49,862,194,974.78/208,895.80
  6. Step 6: Final answer
    x = 238,694.10

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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.