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Finding the Fourth Proportional to 223,472.12, 335,019.24 and 97,016.94

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Solution

The fourth proportional to 223,472.12, 335,019.24 and 97,016.94 is: 145,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,472.12 : 335,019.24 = 97,016.94 : x
  2. Step 2: Convert to fraction form
    223,472.12/335,019.24 = 97,016.94/x
  3. Step 3: Cross multiply
    223,472.12x = 335,019.24 × 97,016.94
  4. Step 4: Simplify right side
    223,472.12x = 32,502,541,505.93
  5. Step 5: Solve for x
    x = 32,502,541,505.93/223,472.12
  6. Step 6: Final answer
    x = 145,443.39

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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.