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Finding the Fourth Proportional to 105,608.34, 158,314.08 and 52,956.30

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Solution

The fourth proportional to 105,608.34, 158,314.08 and 52,956.30 is: 79,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,608.34 : 158,314.08 = 52,956.30 : x
  2. Step 2: Convert to fraction form
    105,608.34/158,314.08 = 52,956.30/x
  3. Step 3: Cross multiply
    105,608.34x = 158,314.08 × 52,956.30
  4. Step 4: Simplify right side
    105,608.34x = 8,383,727,914.70
  5. Step 5: Solve for x
    x = 8,383,727,914.70/105,608.34
  6. Step 6: Final answer
    x = 79,385.09

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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.