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Finding the Fourth Proportional to 227,836.80, 341,792.16 and 85,693.20

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Solution

The fourth proportional to 227,836.80, 341,792.16 and 85,693.20 is: 128,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,836.80 : 341,792.16 = 85,693.20 : x
  2. Step 2: Convert to fraction form
    227,836.80/341,792.16 = 85,693.20/x
  3. Step 3: Cross multiply
    227,836.80x = 341,792.16 × 85,693.20
  4. Step 4: Simplify right side
    227,836.80x = 29,289,263,925.31
  5. Step 5: Solve for x
    x = 29,289,263,925.31/227,836.80
  6. Step 6: Final answer
    x = 128,553.70

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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.