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Finding the Fourth Proportional to 164,502.23, 227,013.80 and 89,050.73

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Solution

The fourth proportional to 164,502.23, 227,013.80 and 89,050.73 is: 122,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502.23 : 227,013.80 = 89,050.73 : x
  2. Step 2: Convert to fraction form
    164,502.23/227,013.80 = 89,050.73/x
  3. Step 3: Cross multiply
    164,502.23x = 227,013.80 × 89,050.73
  4. Step 4: Simplify right side
    164,502.23x = 20,215,743,029.75
  5. Step 5: Solve for x
    x = 20,215,743,029.75/164,502.23
  6. Step 6: Final answer
    x = 122,890.39

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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.