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Finding the Fourth Proportional to 164,516.70, 227,033.13 and 89,065.22

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Solution

The fourth proportional to 164,516.70, 227,033.13 and 89,065.22 is: 122,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516.70 : 227,033.13 = 89,065.22 : x
  2. Step 2: Convert to fraction form
    164,516.70/227,033.13 = 89,065.22/x
  3. Step 3: Cross multiply
    164,516.70x = 227,033.13 × 89,065.22
  4. Step 4: Simplify right side
    164,516.70x = 20,220,755,670.74
  5. Step 5: Solve for x
    x = 20,220,755,670.74/164,516.70
  6. Step 6: Final answer
    x = 122,910.05

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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.