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Finding the Fourth Proportional to 193,761.40, 290,426.10 and 75,393.40

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Solution

The fourth proportional to 193,761.40, 290,426.10 and 75,393.40 is: 113,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,761.40 : 290,426.10 = 75,393.40 : x
  2. Step 2: Convert to fraction form
    193,761.40/290,426.10 = 75,393.40/x
  3. Step 3: Cross multiply
    193,761.40x = 290,426.10 × 75,393.40
  4. Step 4: Simplify right side
    193,761.40x = 21,896,211,127.74
  5. Step 5: Solve for x
    x = 21,896,211,127.74/193,761.40
  6. Step 6: Final answer
    x = 113,006.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.