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Finding the Fourth Proportional to 170,463.78, 255,732.54 and 65,282.76

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Solution

The fourth proportional to 170,463.78, 255,732.54 and 65,282.76 is: 97,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,463.78 : 255,732.54 = 65,282.76 : x
  2. Step 2: Convert to fraction form
    170,463.78/255,732.54 = 65,282.76/x
  3. Step 3: Cross multiply
    170,463.78x = 255,732.54 × 65,282.76
  4. Step 4: Simplify right side
    170,463.78x = 16,694,926,033.01
  5. Step 5: Solve for x
    x = 16,694,926,033.01/170,463.78
  6. Step 6: Final answer
    x = 97,938.26

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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.