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Finding the Fourth Proportional to 224,267, 336,400.50 and 91,219.64

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Solution

The fourth proportional to 224,267, 336,400.50 and 91,219.64 is: 136,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,267 : 336,400.50 = 91,219.64 : x
  2. Step 2: Convert to fraction form
    224,267/336,400.50 = 91,219.64/x
  3. Step 3: Cross multiply
    224,267x = 336,400.50 × 91,219.64
  4. Step 4: Simplify right side
    224,267x = 30,686,332,505.82
  5. Step 5: Solve for x
    x = 30,686,332,505.82/224,267
  6. Step 6: Final answer
    x = 136,829.46

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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.