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Finding the Fourth Proportional to 154,839, 232,297.50 and 44,031

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Solution

The fourth proportional to 154,839, 232,297.50 and 44,031 is: 66,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,839 : 232,297.50 = 44,031 : x
  2. Step 2: Convert to fraction form
    154,839/232,297.50 = 44,031/x
  3. Step 3: Cross multiply
    154,839x = 232,297.50 × 44,031
  4. Step 4: Simplify right side
    154,839x = 10,228,291,222.50
  5. Step 5: Solve for x
    x = 10,228,291,222.50/154,839
  6. Step 6: Final answer
    x = 66,057.59

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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.