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Finding the Fourth Proportional to 223,471.20, 334,769.40 and 134,460.30

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Solution

The fourth proportional to 223,471.20, 334,769.40 and 134,460.30 is: 201,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,471.20 : 334,769.40 = 134,460.30 : x
  2. Step 2: Convert to fraction form
    223,471.20/334,769.40 = 134,460.30/x
  3. Step 3: Cross multiply
    223,471.20x = 334,769.40 × 134,460.30
  4. Step 4: Simplify right side
    223,471.20x = 45,013,193,954.82
  5. Step 5: Solve for x
    x = 45,013,193,954.82/223,471.20
  6. Step 6: Final answer
    x = 201,427.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.