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Finding the Fourth Proportional to 194,711.88, 268,702.38 and 105,287.88

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Solution

The fourth proportional to 194,711.88, 268,702.38 and 105,287.88 is: 145,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,711.88 : 268,702.38 = 105,287.88 : x
  2. Step 2: Convert to fraction form
    194,711.88/268,702.38 = 105,287.88/x
  3. Step 3: Cross multiply
    194,711.88x = 268,702.38 × 105,287.88
  4. Step 4: Simplify right side
    194,711.88x = 28,291,103,941.15
  5. Step 5: Solve for x
    x = 28,291,103,941.15/194,711.88
  6. Step 6: Final answer
    x = 145,297.27

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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.