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Finding the Fourth Proportional to 224,266, 336,399 and 91,218.64

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Solution

The fourth proportional to 224,266, 336,399 and 91,218.64 is: 136,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,266 : 336,399 = 91,218.64 : x
  2. Step 2: Convert to fraction form
    224,266/336,399 = 91,218.64/x
  3. Step 3: Cross multiply
    224,266x = 336,399 × 91,218.64
  4. Step 4: Simplify right side
    224,266x = 30,685,859,277.36
  5. Step 5: Solve for x
    x = 30,685,859,277.36/224,266
  6. Step 6: Final answer
    x = 136,827.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.