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Finding the Fourth Proportional to 223,113.28, 334,645.60 and 65,343.12

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Solution

The fourth proportional to 223,113.28, 334,645.60 and 65,343.12 is: 98,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,113.28 : 334,645.60 = 65,343.12 : x
  2. Step 2: Convert to fraction form
    223,113.28/334,645.60 = 65,343.12/x
  3. Step 3: Cross multiply
    223,113.28x = 334,645.60 × 65,343.12
  4. Step 4: Simplify right side
    223,113.28x = 21,866,787,598.27
  5. Step 5: Solve for x
    x = 21,866,787,598.27/223,113.28
  6. Step 6: Final answer
    x = 98,007.56

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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.