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Finding the Fourth Proportional to 208,002.53, 311,391.43 and 128,862.29

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Solution

The fourth proportional to 208,002.53, 311,391.43 and 128,862.29 is: 192,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002.53 : 311,391.43 = 128,862.29 : x
  2. Step 2: Convert to fraction form
    208,002.53/311,391.43 = 128,862.29/x
  3. Step 3: Cross multiply
    208,002.53x = 311,391.43 × 128,862.29
  4. Step 4: Simplify right side
    208,002.53x = 40,126,612,756.17
  5. Step 5: Solve for x
    x = 40,126,612,756.17/208,002.53
  6. Step 6: Final answer
    x = 192,914.06

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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.