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Finding the Fourth Proportional to 194,680.13, 268,658.57 and 105,256.13

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Solution

The fourth proportional to 194,680.13, 268,658.57 and 105,256.13 is: 145,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,680.13 : 268,658.57 = 105,256.13 : x
  2. Step 2: Convert to fraction form
    194,680.13/268,658.57 = 105,256.13/x
  3. Step 3: Cross multiply
    194,680.13x = 268,658.57 × 105,256.13
  4. Step 4: Simplify right side
    194,680.13x = 28,277,960,289.38
  5. Step 5: Solve for x
    x = 28,277,960,289.38/194,680.13
  6. Step 6: Final answer
    x = 145,253.45

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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.