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Finding the Fourth Proportional to 227,856.40, 341,781.40 and 103,197.20

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Solution

The fourth proportional to 227,856.40, 341,781.40 and 103,197.20 is: 154,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,856.40 : 341,781.40 = 103,197.20 : x
  2. Step 2: Convert to fraction form
    227,856.40/341,781.40 = 103,197.20/x
  3. Step 3: Cross multiply
    227,856.40x = 341,781.40 × 103,197.20
  4. Step 4: Simplify right side
    227,856.40x = 35,270,883,492.08
  5. Step 5: Solve for x
    x = 35,270,883,492.08/227,856.40
  6. Step 6: Final answer
    x = 154,794.35

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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.