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Finding the Fourth Proportional to 105,616.62, 158,220.79 and 58,727.34

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Solution

The fourth proportional to 105,616.62, 158,220.79 and 58,727.34 is: 87,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.62 : 158,220.79 = 58,727.34 : x
  2. Step 2: Convert to fraction form
    105,616.62/158,220.79 = 58,727.34/x
  3. Step 3: Cross multiply
    105,616.62x = 158,220.79 × 58,727.34
  4. Step 4: Simplify right side
    105,616.62x = 9,291,885,982.58
  5. Step 5: Solve for x
    x = 9,291,885,982.58/105,616.62
  6. Step 6: Final answer
    x = 87,977.50

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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.