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Finding the Fourth Proportional to 120,026, 165,635.88 and 67,034

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Solution

The fourth proportional to 120,026, 165,635.88 and 67,034 is: 92,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,026 : 165,635.88 = 67,034 : x
  2. Step 2: Convert to fraction form
    120,026/165,635.88 = 67,034/x
  3. Step 3: Cross multiply
    120,026x = 165,635.88 × 67,034
  4. Step 4: Simplify right side
    120,026x = 11,103,235,579.92
  5. Step 5: Solve for x
    x = 11,103,235,579.92/120,026
  6. Step 6: Final answer
    x = 92,506.92

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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.