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Finding the Fourth Proportional to 223,770.72, 335,705.40 and 97,431.24

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Solution

The fourth proportional to 223,770.72, 335,705.40 and 97,431.24 is: 146,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,770.72 : 335,705.40 = 97,431.24 : x
  2. Step 2: Convert to fraction form
    223,770.72/335,705.40 = 97,431.24/x
  3. Step 3: Cross multiply
    223,770.72x = 335,705.40 × 97,431.24
  4. Step 4: Simplify right side
    223,770.72x = 32,708,193,396.70
  5. Step 5: Solve for x
    x = 32,708,193,396.70/223,770.72
  6. Step 6: Final answer
    x = 146,168.33

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1.5x scale

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.