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Finding the Fourth Proportional to 223,955.08, 309,058 and 123,353.08

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Solution

The fourth proportional to 223,955.08, 309,058 and 123,353.08 is: 170,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,955.08 : 309,058 = 123,353.08 : x
  2. Step 2: Convert to fraction form
    223,955.08/309,058 = 123,353.08/x
  3. Step 3: Cross multiply
    223,955.08x = 309,058 × 123,353.08
  4. Step 4: Simplify right side
    223,955.08x = 38,123,256,198.64
  5. Step 5: Solve for x
    x = 38,123,256,198.64/223,955.08
  6. Step 6: Final answer
    x = 170,227.24

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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.