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Finding the Fourth Proportional to 139,801.70, 209,527.68 and 110,102.24

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Solution

The fourth proportional to 139,801.70, 209,527.68 and 110,102.24 is: 165,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,801.70 : 209,527.68 = 110,102.24 : x
  2. Step 2: Convert to fraction form
    139,801.70/209,527.68 = 110,102.24/x
  3. Step 3: Cross multiply
    139,801.70x = 209,527.68 × 110,102.24
  4. Step 4: Simplify right side
    139,801.70x = 23,069,466,910.00
  5. Step 5: Solve for x
    x = 23,069,466,910.00/139,801.70
  6. Step 6: Final answer
    x = 165,015.64

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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.