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Finding the Fourth Proportional to 119,408.60, 164,777.32 and 65,684.88

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Solution

The fourth proportional to 119,408.60, 164,777.32 and 65,684.88 is: 90,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.60 : 164,777.32 = 65,684.88 : x
  2. Step 2: Convert to fraction form
    119,408.60/164,777.32 = 65,684.88/x
  3. Step 3: Cross multiply
    119,408.60x = 164,777.32 × 65,684.88
  4. Step 4: Simplify right side
    119,408.60x = 10,823,378,490.92
  5. Step 5: Solve for x
    x = 10,823,378,490.92/119,408.60
  6. Step 6: Final answer
    x = 90,641.53

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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.