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Finding the Fourth Proportional to 226,270.62, 312,277.95 and 144,672.84

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Solution

The fourth proportional to 226,270.62, 312,277.95 and 144,672.84 is: 199,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,270.62 : 312,277.95 = 144,672.84 : x
  2. Step 2: Convert to fraction form
    226,270.62/312,277.95 = 144,672.84/x
  3. Step 3: Cross multiply
    226,270.62x = 312,277.95 × 144,672.84
  4. Step 4: Simplify right side
    226,270.62x = 45,178,137,895.88
  5. Step 5: Solve for x
    x = 45,178,137,895.88/226,270.62
  6. Step 6: Final answer
    x = 199,664.18

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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.