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Finding the Fourth Proportional to 170,282.97, 234,962.37 and 103,214.97

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Solution

The fourth proportional to 170,282.97, 234,962.37 and 103,214.97 is: 142,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,282.97 : 234,962.37 = 103,214.97 : x
  2. Step 2: Convert to fraction form
    170,282.97/234,962.37 = 103,214.97/x
  3. Step 3: Cross multiply
    170,282.97x = 234,962.37 × 103,214.97
  4. Step 4: Simplify right side
    170,282.97x = 24,251,633,970.68
  5. Step 5: Solve for x
    x = 24,251,633,970.68/170,282.97
  6. Step 6: Final answer
    x = 142,419.61

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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.