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Finding the Fourth Proportional to 224,527.32, 336,962.28 and 82,507.17

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Solution

The fourth proportional to 224,527.32, 336,962.28 and 82,507.17 is: 123,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,527.32 : 336,962.28 = 82,507.17 : x
  2. Step 2: Convert to fraction form
    224,527.32/336,962.28 = 82,507.17/x
  3. Step 3: Cross multiply
    224,527.32x = 336,962.28 × 82,507.17
  4. Step 4: Simplify right side
    224,527.32x = 27,801,804,119.55
  5. Step 5: Solve for x
    x = 27,801,804,119.55/224,527.32
  6. Step 6: Final answer
    x = 123,823.70

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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.