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Finding the Fourth Proportional to 208,987.62, 288,491.22 and 141,096.57

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Solution

The fourth proportional to 208,987.62, 288,491.22 and 141,096.57 is: 194,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.62 : 288,491.22 = 141,096.57 : x
  2. Step 2: Convert to fraction form
    208,987.62/288,491.22 = 141,096.57/x
  3. Step 3: Cross multiply
    208,987.62x = 288,491.22 × 141,096.57
  4. Step 4: Simplify right side
    208,987.62x = 40,705,121,617.12
  5. Step 5: Solve for x
    x = 40,705,121,617.12/208,987.62
  6. Step 6: Final answer
    x = 194,772.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.