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Finding the Fourth Proportional to 223,086.28, 334,604.94 and 65,316.28

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Solution

The fourth proportional to 223,086.28, 334,604.94 and 65,316.28 is: 97,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086.28 : 334,604.94 = 65,316.28 : x
  2. Step 2: Convert to fraction form
    223,086.28/334,604.94 = 65,316.28/x
  3. Step 3: Cross multiply
    223,086.28x = 334,604.94 × 65,316.28
  4. Step 4: Simplify right side
    223,086.28x = 21,855,149,950.42
  5. Step 5: Solve for x
    x = 21,855,149,950.42/223,086.28
  6. Step 6: Final answer
    x = 97,967.25

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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.