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Finding the Fourth Proportional to 105,754.35, 158,319.87 and 92,632.35

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Solution

The fourth proportional to 105,754.35, 158,319.87 and 92,632.35 is: 138,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.35 : 158,319.87 = 92,632.35 : x
  2. Step 2: Convert to fraction form
    105,754.35/158,319.87 = 92,632.35/x
  3. Step 3: Cross multiply
    105,754.35x = 158,319.87 × 92,632.35
  4. Step 4: Simplify right side
    105,754.35x = 14,665,540,818.20
  5. Step 5: Solve for x
    x = 14,665,540,818.20/105,754.35
  6. Step 6: Final answer
    x = 138,675.54

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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.