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Finding the Fourth Proportional to 224,576.50, 309,915.84 and 123,974.50

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Solution

The fourth proportional to 224,576.50, 309,915.84 and 123,974.50 is: 171,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,576.50 : 309,915.84 = 123,974.50 : x
  2. Step 2: Convert to fraction form
    224,576.50/309,915.84 = 123,974.50/x
  3. Step 3: Cross multiply
    224,576.50x = 309,915.84 × 123,974.50
  4. Step 4: Simplify right side
    224,576.50x = 38,421,661,306.08
  5. Step 5: Solve for x
    x = 38,421,661,306.08/224,576.50
  6. Step 6: Final answer
    x = 171,084.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.