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Finding the Fourth Proportional to 159,032.16, 219,468.42 and 87,414

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Solution

The fourth proportional to 159,032.16, 219,468.42 and 87,414 is: 120,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032.16 : 219,468.42 = 87,414 : x
  2. Step 2: Convert to fraction form
    159,032.16/219,468.42 = 87,414/x
  3. Step 3: Cross multiply
    159,032.16x = 219,468.42 × 87,414
  4. Step 4: Simplify right side
    159,032.16x = 19,184,612,465.88
  5. Step 5: Solve for x
    x = 19,184,612,465.88/159,032.16
  6. Step 6: Final answer
    x = 120,633.54

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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.