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Finding the Fourth Proportional to 223,407.46, 308,302.27 and 122,805.46

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Solution

The fourth proportional to 223,407.46, 308,302.27 and 122,805.46 is: 169,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,407.46 : 308,302.27 = 122,805.46 : x
  2. Step 2: Convert to fraction form
    223,407.46/308,302.27 = 122,805.46/x
  3. Step 3: Cross multiply
    223,407.46x = 308,302.27 × 122,805.46
  4. Step 4: Simplify right side
    223,407.46x = 37,861,202,086.39
  5. Step 5: Solve for x
    x = 37,861,202,086.39/223,407.46
  6. Step 6: Final answer
    x = 169,471.52

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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.