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Finding the Fourth Proportional to 110,509.80, 165,764.70 and 75,258.60

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Solution

The fourth proportional to 110,509.80, 165,764.70 and 75,258.60 is: 112,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.80 : 165,764.70 = 75,258.60 : x
  2. Step 2: Convert to fraction form
    110,509.80/165,764.70 = 75,258.60/x
  3. Step 3: Cross multiply
    110,509.80x = 165,764.70 × 75,258.60
  4. Step 4: Simplify right side
    110,509.80x = 12,475,219,251.42
  5. Step 5: Solve for x
    x = 12,475,219,251.42/110,509.80
  6. Step 6: Final answer
    x = 112,887.90

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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.