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Finding the Fourth Proportional to 224,458.34, 309,472.32 and 143,753.18

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Solution

The fourth proportional to 224,458.34, 309,472.32 and 143,753.18 is: 198,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,458.34 : 309,472.32 = 143,753.18 : x
  2. Step 2: Convert to fraction form
    224,458.34/309,472.32 = 143,753.18/x
  3. Step 3: Cross multiply
    224,458.34x = 309,472.32 × 143,753.18
  4. Step 4: Simplify right side
    224,458.34x = 44,487,630,121.98
  5. Step 5: Solve for x
    x = 44,487,630,121.98/224,458.34
  6. Step 6: Final answer
    x = 198,199.94

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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.