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Finding the Fourth Proportional to 194,458.00, 268,256.65 and 129,943.07

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Solution

The fourth proportional to 194,458.00, 268,256.65 and 129,943.07 is: 179,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,458.00 : 268,256.65 = 129,943.07 : x
  2. Step 2: Convert to fraction form
    194,458.00/268,256.65 = 129,943.07/x
  3. Step 3: Cross multiply
    194,458.00x = 268,256.65 × 129,943.07
  4. Step 4: Simplify right side
    194,458.00x = 34,858,093,592.50
  5. Step 5: Solve for x
    x = 34,858,093,592.50/194,458.00
  6. Step 6: Final answer
    x = 179,257.70

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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.