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Finding the Fourth Proportional to 235,458.80, 353,067.24 and 69,225.20

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Solution

The fourth proportional to 235,458.80, 353,067.24 and 69,225.20 is: 103,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,458.80 : 353,067.24 = 69,225.20 : x
  2. Step 2: Convert to fraction form
    235,458.80/353,067.24 = 69,225.20/x
  3. Step 3: Cross multiply
    235,458.80x = 353,067.24 × 69,225.20
  4. Step 4: Simplify right side
    235,458.80x = 24,441,150,302.45
  5. Step 5: Solve for x
    x = 24,441,150,302.45/235,458.80
  6. Step 6: Final answer
    x = 103,802.24

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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.