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Finding the Fourth Proportional to 223,083.28, 334,575.70 and 65,324.03

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Solution

The fourth proportional to 223,083.28, 334,575.70 and 65,324.03 is: 97,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,083.28 : 334,575.70 = 65,324.03 : x
  2. Step 2: Convert to fraction form
    223,083.28/334,575.70 = 65,324.03/x
  3. Step 3: Cross multiply
    223,083.28x = 334,575.70 × 65,324.03
  4. Step 4: Simplify right side
    223,083.28x = 21,855,833,064.07
  5. Step 5: Solve for x
    x = 21,855,833,064.07/223,083.28
  6. Step 6: Final answer
    x = 97,971.63

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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.