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Finding the Fourth Proportional to 191,864.43, 287,822.88 and 65,470.68

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Solution

The fourth proportional to 191,864.43, 287,822.88 and 65,470.68 is: 98,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,864.43 : 287,822.88 = 65,470.68 : x
  2. Step 2: Convert to fraction form
    191,864.43/287,822.88 = 65,470.68/x
  3. Step 3: Cross multiply
    191,864.43x = 287,822.88 × 65,470.68
  4. Step 4: Simplify right side
    191,864.43x = 18,843,959,673.16
  5. Step 5: Solve for x
    x = 18,843,959,673.16/191,864.43
  6. Step 6: Final answer
    x = 98,214.97

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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.