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Finding the Fourth Proportional to 224,498.70, 309,909.24 and 148,063.14

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Solution

The fourth proportional to 224,498.70, 309,909.24 and 148,063.14 is: 204,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,498.70 : 309,909.24 = 148,063.14 : x
  2. Step 2: Convert to fraction form
    224,498.70/309,909.24 = 148,063.14/x
  3. Step 3: Cross multiply
    224,498.70x = 309,909.24 × 148,063.14
  4. Step 4: Simplify right side
    224,498.70x = 45,886,135,189.41
  5. Step 5: Solve for x
    x = 45,886,135,189.41/224,498.70
  6. Step 6: Final answer
    x = 204,393.77

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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.