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Finding the Fourth Proportional to 194,648.13, 268,614.63 and 114,059.61

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Solution

The fourth proportional to 194,648.13, 268,614.63 and 114,059.61 is: 157,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,648.13 : 268,614.63 = 114,059.61 : x
  2. Step 2: Convert to fraction form
    194,648.13/268,614.63 = 114,059.61/x
  3. Step 3: Cross multiply
    194,648.13x = 268,614.63 × 114,059.61
  4. Step 4: Simplify right side
    194,648.13x = 30,638,079,938.09
  5. Step 5: Solve for x
    x = 30,638,079,938.09/194,648.13
  6. Step 6: Final answer
    x = 157,402.39

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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.