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Finding the Fourth Proportional to 105,820.26, 158,731.28 and 26,934.50

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Solution

The fourth proportional to 105,820.26, 158,731.28 and 26,934.50 is: 40,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,820.26 : 158,731.28 = 26,934.50 : x
  2. Step 2: Convert to fraction form
    105,820.26/158,731.28 = 26,934.50/x
  3. Step 3: Cross multiply
    105,820.26x = 158,731.28 × 26,934.50
  4. Step 4: Simplify right side
    105,820.26x = 4,275,347,661.16
  5. Step 5: Solve for x
    x = 4,275,347,661.16/105,820.26
  6. Step 6: Final answer
    x = 40,401.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.