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Finding the Fourth Proportional to 224,248.50, 309,102.08 and 163,723.28

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Solution

The fourth proportional to 224,248.50, 309,102.08 and 163,723.28 is: 225,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,248.50 : 309,102.08 = 163,723.28 : x
  2. Step 2: Convert to fraction form
    224,248.50/309,102.08 = 163,723.28/x
  3. Step 3: Cross multiply
    224,248.50x = 309,102.08 × 163,723.28
  4. Step 4: Simplify right side
    224,248.50x = 50,607,204,028.30
  5. Step 5: Solve for x
    x = 50,607,204,028.30/224,248.50
  6. Step 6: Final answer
    x = 225,674.66

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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.