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Finding the Fourth Proportional to 109,023.40, 163,664.70 and 61,676.20

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Solution

The fourth proportional to 109,023.40, 163,664.70 and 61,676.20 is: 92,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,023.40 : 163,664.70 = 61,676.20 : x
  2. Step 2: Convert to fraction form
    109,023.40/163,664.70 = 61,676.20/x
  3. Step 3: Cross multiply
    109,023.40x = 163,664.70 × 61,676.20
  4. Step 4: Simplify right side
    109,023.40x = 10,094,216,770.14
  5. Step 5: Solve for x
    x = 10,094,216,770.14/109,023.40
  6. Step 6: Final answer
    x = 92,587.62

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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.