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Finding the Fourth Proportional to 154,175.67, 231,259.91 and 71,069.67

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Solution

The fourth proportional to 154,175.67, 231,259.91 and 71,069.67 is: 106,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,175.67 : 231,259.91 = 71,069.67 : x
  2. Step 2: Convert to fraction form
    154,175.67/231,259.91 = 71,069.67/x
  3. Step 3: Cross multiply
    154,175.67x = 231,259.91 × 71,069.67
  4. Step 4: Simplify right side
    154,175.67x = 16,435,565,132.58
  5. Step 5: Solve for x
    x = 16,435,565,132.58/154,175.67
  6. Step 6: Final answer
    x = 106,602.85

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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.