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Finding the Fourth Proportional to 194,711.76, 268,702.24 and 105,287.76

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Solution

The fourth proportional to 194,711.76, 268,702.24 and 105,287.76 is: 145,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,711.76 : 268,702.24 = 105,287.76 : x
  2. Step 2: Convert to fraction form
    194,711.76/268,702.24 = 105,287.76/x
  3. Step 3: Cross multiply
    194,711.76x = 268,702.24 × 105,287.76
  4. Step 4: Simplify right side
    194,711.76x = 28,291,056,956.58
  5. Step 5: Solve for x
    x = 28,291,056,956.58/194,711.76
  6. Step 6: Final answer
    x = 145,297.11

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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.