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Finding the Fourth Proportional to 106,615.41, 159,575.91 and 78,524.40

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Solution

The fourth proportional to 106,615.41, 159,575.91 and 78,524.40 is: 117,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615.41 : 159,575.91 = 78,524.40 : x
  2. Step 2: Convert to fraction form
    106,615.41/159,575.91 = 78,524.40/x
  3. Step 3: Cross multiply
    106,615.41x = 159,575.91 × 78,524.40
  4. Step 4: Simplify right side
    106,615.41x = 12,530,602,587.20
  5. Step 5: Solve for x
    x = 12,530,602,587.20/106,615.41
  6. Step 6: Final answer
    x = 117,530.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.