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Finding the Fourth Proportional to 223,536.30, 335,363.85 and 97,122.30

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Solution

The fourth proportional to 223,536.30, 335,363.85 and 97,122.30 is: 145,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536.30 : 335,363.85 = 97,122.30 : x
  2. Step 2: Convert to fraction form
    223,536.30/335,363.85 = 97,122.30/x
  3. Step 3: Cross multiply
    223,536.30x = 335,363.85 × 97,122.30
  4. Step 4: Simplify right side
    223,536.30x = 32,571,308,448.86
  5. Step 5: Solve for x
    x = 32,571,308,448.86/223,536.30
  6. Step 6: Final answer
    x = 145,709.26

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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.