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Finding the Fourth Proportional to 227,905.20, 341,825.40 and 78,152.40

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Solution

The fourth proportional to 227,905.20, 341,825.40 and 78,152.40 is: 117,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,905.20 : 341,825.40 = 78,152.40 : x
  2. Step 2: Convert to fraction form
    227,905.20/341,825.40 = 78,152.40/x
  3. Step 3: Cross multiply
    227,905.20x = 341,825.40 × 78,152.40
  4. Step 4: Simplify right side
    227,905.20x = 26,714,475,390.96
  5. Step 5: Solve for x
    x = 26,714,475,390.96/227,905.20
  6. Step 6: Final answer
    x = 117,217.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.