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Finding the Fourth Proportional to 144,524.25, 216,873.86 and 61,418.25

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Solution

The fourth proportional to 144,524.25, 216,873.86 and 61,418.25 is: 92,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,524.25 : 216,873.86 = 61,418.25 : x
  2. Step 2: Convert to fraction form
    144,524.25/216,873.86 = 61,418.25/x
  3. Step 3: Cross multiply
    144,524.25x = 216,873.86 × 61,418.25
  4. Step 4: Simplify right side
    144,524.25x = 13,320,012,644.85
  5. Step 5: Solve for x
    x = 13,320,012,644.85/144,524.25
  6. Step 6: Final answer
    x = 92,164.55

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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.