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Finding the Fourth Proportional to 223,872.24, 335,808 and 153,538.32

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Solution

The fourth proportional to 223,872.24, 335,808 and 153,538.32 is: 230,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,872.24 : 335,808 = 153,538.32 : x
  2. Step 2: Convert to fraction form
    223,872.24/335,808 = 153,538.32/x
  3. Step 3: Cross multiply
    223,872.24x = 335,808 × 153,538.32
  4. Step 4: Simplify right side
    223,872.24x = 51,559,396,162.56
  5. Step 5: Solve for x
    x = 51,559,396,162.56/223,872.24
  6. Step 6: Final answer
    x = 230,307.23

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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.