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Finding the Fourth Proportional to 119,047.91, 164,289.32 and 65,334.84

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Solution

The fourth proportional to 119,047.91, 164,289.32 and 65,334.84 is: 90,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.91 : 164,289.32 = 65,334.84 : x
  2. Step 2: Convert to fraction form
    119,047.91/164,289.32 = 65,334.84/x
  3. Step 3: Cross multiply
    119,047.91x = 164,289.32 × 65,334.84
  4. Step 4: Simplify right side
    119,047.91x = 10,733,816,109.23
  5. Step 5: Solve for x
    x = 10,733,816,109.23/119,047.91
  6. Step 6: Final answer
    x = 90,163.83

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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.