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Finding the Fourth Proportional to 193,411.44, 290,561.94 and 137,387.88

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Solution

The fourth proportional to 193,411.44, 290,561.94 and 137,387.88 is: 206,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,411.44 : 290,561.94 = 137,387.88 : x
  2. Step 2: Convert to fraction form
    193,411.44/290,561.94 = 137,387.88/x
  3. Step 3: Cross multiply
    193,411.44x = 290,561.94 × 137,387.88
  4. Step 4: Simplify right side
    193,411.44x = 39,919,688,945.29
  5. Step 5: Solve for x
    x = 39,919,688,945.29/193,411.44
  6. Step 6: Final answer
    x = 206,397.77

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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.