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Finding the Fourth Proportional to 224,367.75, 309,497.25 and 147,898.89

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Solution

The fourth proportional to 224,367.75, 309,497.25 and 147,898.89 is: 204,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,367.75 : 309,497.25 = 147,898.89 : x
  2. Step 2: Convert to fraction form
    224,367.75/309,497.25 = 147,898.89/x
  3. Step 3: Cross multiply
    224,367.75x = 309,497.25 × 147,898.89
  4. Step 4: Simplify right side
    224,367.75x = 45,774,299,733.05
  5. Step 5: Solve for x
    x = 45,774,299,733.05/224,367.75
  6. Step 6: Final answer
    x = 204,014.61

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1.5x scale

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.