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Finding the Fourth Proportional to 109,838.89, 151,578.03 and 59,537.89

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Solution

The fourth proportional to 109,838.89, 151,578.03 and 59,537.89 is: 82,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.89 : 151,578.03 = 59,537.89 : x
  2. Step 2: Convert to fraction form
    109,838.89/151,578.03 = 59,537.89/x
  3. Step 3: Cross multiply
    109,838.89x = 151,578.03 × 59,537.89
  4. Step 4: Simplify right side
    109,838.89x = 9,024,636,076.56
  5. Step 5: Solve for x
    x = 9,024,636,076.56/109,838.89
  6. Step 6: Final answer
    x = 82,162.48

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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.