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Finding the Fourth Proportional to 119,671.61, 165,189.11 and 106,902.63

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Solution

The fourth proportional to 119,671.61, 165,189.11 and 106,902.63 is: 147,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,671.61 : 165,189.11 = 106,902.63 : x
  2. Step 2: Convert to fraction form
    119,671.61/165,189.11 = 106,902.63/x
  3. Step 3: Cross multiply
    119,671.61x = 165,189.11 × 106,902.63
  4. Step 4: Simplify right side
    119,671.61x = 17,659,149,771.85
  5. Step 5: Solve for x
    x = 17,659,149,771.85/119,671.61
  6. Step 6: Final answer
    x = 147,563.41

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1.5x scale

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.