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Finding the Fourth Proportional to 154,893.97, 213,752.32 and 86,909.56

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Solution

The fourth proportional to 154,893.97, 213,752.32 and 86,909.56 is: 119,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,893.97 : 213,752.32 = 86,909.56 : x
  2. Step 2: Convert to fraction form
    154,893.97/213,752.32 = 86,909.56/x
  3. Step 3: Cross multiply
    154,893.97x = 213,752.32 × 86,909.56
  4. Step 4: Simplify right side
    154,893.97x = 18,577,119,328.52
  5. Step 5: Solve for x
    x = 18,577,119,328.52/154,893.97
  6. Step 6: Final answer
    x = 119,934.42

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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.