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Finding the Fourth Proportional to 223,773.72, 335,709.90 and 97,434.24

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Solution

The fourth proportional to 223,773.72, 335,709.90 and 97,434.24 is: 146,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,773.72 : 335,709.90 = 97,434.24 : x
  2. Step 2: Convert to fraction form
    223,773.72/335,709.90 = 97,434.24/x
  3. Step 3: Cross multiply
    223,773.72x = 335,709.90 × 97,434.24
  4. Step 4: Simplify right side
    223,773.72x = 32,709,638,966.98
  5. Step 5: Solve for x
    x = 32,709,638,966.98/223,773.72
  6. Step 6: Final answer
    x = 146,172.83

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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.