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Finding the Fourth Proportional to 99,583.68, 149,398.72 and 44,184

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Solution

The fourth proportional to 99,583.68, 149,398.72 and 44,184 is: 66,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,583.68 : 149,398.72 = 44,184 : x
  2. Step 2: Convert to fraction form
    99,583.68/149,398.72 = 44,184/x
  3. Step 3: Cross multiply
    99,583.68x = 149,398.72 × 44,184
  4. Step 4: Simplify right side
    99,583.68x = 6,601,033,044.48
  5. Step 5: Solve for x
    x = 6,601,033,044.48/99,583.68
  6. Step 6: Final answer
    x = 66,286.29

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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.