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Finding the Fourth Proportional to 224,184.28, 309,376.38 and 123,585.88

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Solution

The fourth proportional to 224,184.28, 309,376.38 and 123,585.88 is: 170,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,184.28 : 309,376.38 = 123,585.88 : x
  2. Step 2: Convert to fraction form
    224,184.28/309,376.38 = 123,585.88/x
  3. Step 3: Cross multiply
    224,184.28x = 309,376.38 × 123,585.88
  4. Step 4: Simplify right side
    224,184.28x = 38,234,552,173.51
  5. Step 5: Solve for x
    x = 38,234,552,173.51/224,184.28
  6. Step 6: Final answer
    x = 170,549.66

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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.