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Finding the Fourth Proportional to 154,996, 232,496.16 and 44,188

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Solution

The fourth proportional to 154,996, 232,496.16 and 44,188 is: 66,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,996 : 232,496.16 = 44,188 : x
  2. Step 2: Convert to fraction form
    154,996/232,496.16 = 44,188/x
  3. Step 3: Cross multiply
    154,996x = 232,496.16 × 44,188
  4. Step 4: Simplify right side
    154,996x = 10,273,540,318.08
  5. Step 5: Solve for x
    x = 10,273,540,318.08/154,996
  6. Step 6: Final answer
    x = 66,282.62

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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.