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Finding the Fourth Proportional to 208,142.20, 312,418.10 and 103,079.80

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Solution

The fourth proportional to 208,142.20, 312,418.10 and 103,079.80 is: 154,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.20 : 312,418.10 = 103,079.80 : x
  2. Step 2: Convert to fraction form
    208,142.20/312,418.10 = 103,079.80/x
  3. Step 3: Cross multiply
    208,142.20x = 312,418.10 × 103,079.80
  4. Step 4: Simplify right side
    208,142.20x = 32,203,995,264.38
  5. Step 5: Solve for x
    x = 32,203,995,264.38/208,142.20
  6. Step 6: Final answer
    x = 154,721.12

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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.