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Finding the Fourth Proportional to 227,853.60, 341,780.40 and 109,496.40

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Solution

The fourth proportional to 227,853.60, 341,780.40 and 109,496.40 is: 164,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853.60 : 341,780.40 = 109,496.40 : x
  2. Step 2: Convert to fraction form
    227,853.60/341,780.40 = 109,496.40/x
  3. Step 3: Cross multiply
    227,853.60x = 341,780.40 × 109,496.40
  4. Step 4: Simplify right side
    227,853.60x = 37,423,723,390.56
  5. Step 5: Solve for x
    x = 37,423,723,390.56/227,853.60
  6. Step 6: Final answer
    x = 164,244.60

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1.5x scale

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.