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Finding the Fourth Proportional to 194,468.34, 268,366.31 and 105,044.34

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Solution

The fourth proportional to 194,468.34, 268,366.31 and 105,044.34 is: 144,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468.34 : 268,366.31 = 105,044.34 : x
  2. Step 2: Convert to fraction form
    194,468.34/268,366.31 = 105,044.34/x
  3. Step 3: Cross multiply
    194,468.34x = 268,366.31 × 105,044.34
  4. Step 4: Simplify right side
    194,468.34x = 28,190,363,378.13
  5. Step 5: Solve for x
    x = 28,190,363,378.13/194,468.34
  6. Step 6: Final answer
    x = 144,961.19

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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.