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Finding the Fourth Proportional to 119,369.22, 164,733.12 and 65,657.73

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Solution

The fourth proportional to 119,369.22, 164,733.12 and 65,657.73 is: 90,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,369.22 : 164,733.12 = 65,657.73 : x
  2. Step 2: Convert to fraction form
    119,369.22/164,733.12 = 65,657.73/x
  3. Step 3: Cross multiply
    119,369.22x = 164,733.12 × 65,657.73
  4. Step 4: Simplify right side
    119,369.22x = 10,816,002,715.02
  5. Step 5: Solve for x
    x = 10,816,002,715.02/119,369.22
  6. Step 6: Final answer
    x = 90,609.65

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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.