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Finding the Fourth Proportional to 154,985.38, 213,863.31 and 87,009.86

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Solution

The fourth proportional to 154,985.38, 213,863.31 and 87,009.86 is: 120,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,985.38 : 213,863.31 = 87,009.86 : x
  2. Step 2: Convert to fraction form
    154,985.38/213,863.31 = 87,009.86/x
  3. Step 3: Cross multiply
    154,985.38x = 213,863.31 × 87,009.86
  4. Step 4: Simplify right side
    154,985.38x = 18,608,217,196.89
  5. Step 5: Solve for x
    x = 18,608,217,196.89/154,985.38
  6. Step 6: Final answer
    x = 120,064.34

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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.