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Finding the Fourth Proportional to 224,186.32, 309,376.84 and 123,586

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Solution

The fourth proportional to 224,186.32, 309,376.84 and 123,586 is: 170,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186.32 : 309,376.84 = 123,586 : x
  2. Step 2: Convert to fraction form
    224,186.32/309,376.84 = 123,586/x
  3. Step 3: Cross multiply
    224,186.32x = 309,376.84 × 123,586
  4. Step 4: Simplify right side
    224,186.32x = 38,234,646,148.24
  5. Step 5: Solve for x
    x = 38,234,646,148.24/224,186.32
  6. Step 6: Final answer
    x = 170,548.52

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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.