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Finding the Fourth Proportional to 194,558, 268,490.04 and 105,134

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Solution

The fourth proportional to 194,558, 268,490.04 and 105,134 is: 145,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,558 : 268,490.04 = 105,134 : x
  2. Step 2: Convert to fraction form
    194,558/268,490.04 = 105,134/x
  3. Step 3: Cross multiply
    194,558x = 268,490.04 × 105,134
  4. Step 4: Simplify right side
    194,558x = 28,227,431,865.36
  5. Step 5: Solve for x
    x = 28,227,431,865.36/194,558
  6. Step 6: Final answer
    x = 145,084.92

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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.