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Finding the Fourth Proportional to 159,029.52, 219,462.44 and 86,432.43

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Solution

The fourth proportional to 159,029.52, 219,462.44 and 86,432.43 is: 119,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.52 : 219,462.44 = 86,432.43 : x
  2. Step 2: Convert to fraction form
    159,029.52/219,462.44 = 86,432.43/x
  3. Step 3: Cross multiply
    159,029.52x = 219,462.44 × 86,432.43
  4. Step 4: Simplify right side
    159,029.52x = 18,968,671,982.93
  5. Step 5: Solve for x
    x = 18,968,671,982.93/159,029.52
  6. Step 6: Final answer
    x = 119,277.68

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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.