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Finding the Fourth Proportional to 106,150.26, 159,207.30 and 100,294.50

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Solution

The fourth proportional to 106,150.26, 159,207.30 and 100,294.50 is: 150,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,150.26 : 159,207.30 = 100,294.50 : x
  2. Step 2: Convert to fraction form
    106,150.26/159,207.30 = 100,294.50/x
  3. Step 3: Cross multiply
    106,150.26x = 159,207.30 × 100,294.50
  4. Step 4: Simplify right side
    106,150.26x = 15,967,616,549.85
  5. Step 5: Solve for x
    x = 15,967,616,549.85/106,150.26
  6. Step 6: Final answer
    x = 150,424.66

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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.