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Finding the Fourth Proportional to 146,138.10, 204,800.70 and 146,138.10

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Solution

The fourth proportional to 146,138.10, 204,800.70 and 146,138.10 is: 204,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.10 : 204,800.70 = 146,138.10 : x
  2. Step 2: Convert to fraction form
    146,138.10/204,800.70 = 146,138.10/x
  3. Step 3: Cross multiply
    146,138.10x = 204,800.70 × 146,138.10
  4. Step 4: Simplify right side
    146,138.10x = 29,929,185,176.67
  5. Step 5: Solve for x
    x = 29,929,185,176.67/146,138.10
  6. Step 6: Final answer
    x = 204,800.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.