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Finding the Fourth Proportional to 223,991.85, 335,981.62 and 97,632.01

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Solution

The fourth proportional to 223,991.85, 335,981.62 and 97,632.01 is: 146,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,991.85 : 335,981.62 = 97,632.01 : x
  2. Step 2: Convert to fraction form
    223,991.85/335,981.62 = 97,632.01/x
  3. Step 3: Cross multiply
    223,991.85x = 335,981.62 × 97,632.01
  4. Step 4: Simplify right side
    223,991.85x = 32,802,560,883.66
  5. Step 5: Solve for x
    x = 32,802,560,883.66/223,991.85
  6. Step 6: Final answer
    x = 146,445.33

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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.