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Finding the Fourth Proportional to 224,364.74, 309,493.10 and 147,895.88

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Solution

The fourth proportional to 224,364.74, 309,493.10 and 147,895.88 is: 204,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,364.74 : 309,493.10 = 147,895.88 : x
  2. Step 2: Convert to fraction form
    224,364.74/309,493.10 = 147,895.88/x
  3. Step 3: Cross multiply
    224,364.74x = 309,493.10 × 147,895.88
  4. Step 4: Simplify right side
    224,364.74x = 45,772,753,200.70
  5. Step 5: Solve for x
    x = 45,772,753,200.70/224,364.74
  6. Step 6: Final answer
    x = 204,010.46

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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.