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Finding the Fourth Proportional to 120,074.96, 165,703.95 and 65,628.23

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Solution

The fourth proportional to 120,074.96, 165,703.95 and 65,628.23 is: 90,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,074.96 : 165,703.95 = 65,628.23 : x
  2. Step 2: Convert to fraction form
    120,074.96/165,703.95 = 65,628.23/x
  3. Step 3: Cross multiply
    120,074.96x = 165,703.95 × 65,628.23
  4. Step 4: Simplify right side
    120,074.96x = 10,874,856,298.57
  5. Step 5: Solve for x
    x = 10,874,856,298.57/120,074.96
  6. Step 6: Final answer
    x = 90,567.23

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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.