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Finding the Fourth Proportional to 159,197.38, 219,513.01 and 122,816.02

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Solution

The fourth proportional to 159,197.38, 219,513.01 and 122,816.02 is: 169,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,197.38 : 219,513.01 = 122,816.02 : x
  2. Step 2: Convert to fraction form
    159,197.38/219,513.01 = 122,816.02/x
  3. Step 3: Cross multiply
    159,197.38x = 219,513.01 × 122,816.02
  4. Step 4: Simplify right side
    159,197.38x = 26,959,714,226.42
  5. Step 5: Solve for x
    x = 26,959,714,226.42/159,197.38
  6. Step 6: Final answer
    x = 169,347.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.