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Finding the Fourth Proportional to 109,418.82, 150,998 and 59,117.82

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Solution

The fourth proportional to 109,418.82, 150,998 and 59,117.82 is: 81,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,418.82 : 150,998 = 59,117.82 : x
  2. Step 2: Convert to fraction form
    109,418.82/150,998 = 59,117.82/x
  3. Step 3: Cross multiply
    109,418.82x = 150,998 × 59,117.82
  4. Step 4: Simplify right side
    109,418.82x = 8,926,672,584.36
  5. Step 5: Solve for x
    x = 8,926,672,584.36/109,418.82
  6. Step 6: Final answer
    x = 81,582.61

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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.