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Finding the Fourth Proportional to 159,322.42, 219,871.20 and 87,709.10

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Solution

The fourth proportional to 159,322.42, 219,871.20 and 87,709.10 is: 121,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.42 : 219,871.20 = 87,709.10 : x
  2. Step 2: Convert to fraction form
    159,322.42/219,871.20 = 87,709.10/x
  3. Step 3: Cross multiply
    159,322.42x = 219,871.20 × 87,709.10
  4. Step 4: Simplify right side
    159,322.42x = 19,284,705,067.92
  5. Step 5: Solve for x
    x = 19,284,705,067.92/159,322.42
  6. Step 6: Final answer
    x = 121,042.00

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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.