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Finding the Fourth Proportional to 105,708, 158,562 and 26,822.64

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Solution

The fourth proportional to 105,708, 158,562 and 26,822.64 is: 40,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708 : 158,562 = 26,822.64 : x
  2. Step 2: Convert to fraction form
    105,708/158,562 = 26,822.64/x
  3. Step 3: Cross multiply
    105,708x = 158,562 × 26,822.64
  4. Step 4: Simplify right side
    105,708x = 4,253,051,443.68
  5. Step 5: Solve for x
    x = 4,253,051,443.68/105,708
  6. Step 6: Final answer
    x = 40,233.96

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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.