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Finding the Fourth Proportional to 120,236.40, 165,873.24 and 72,461.52

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Solution

The fourth proportional to 120,236.40, 165,873.24 and 72,461.52 is: 99,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,236.40 : 165,873.24 = 72,461.52 : x
  2. Step 2: Convert to fraction form
    120,236.40/165,873.24 = 72,461.52/x
  3. Step 3: Cross multiply
    120,236.40x = 165,873.24 × 72,461.52
  4. Step 4: Simplify right side
    120,236.40x = 12,019,427,097.72
  5. Step 5: Solve for x
    x = 12,019,427,097.72/120,236.40
  6. Step 6: Final answer
    x = 99,964.96

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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.