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Finding the Fourth Proportional to 235,361.52, 353,197.80 and 110,712.24

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Solution

The fourth proportional to 235,361.52, 353,197.80 and 110,712.24 is: 166,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,361.52 : 353,197.80 = 110,712.24 : x
  2. Step 2: Convert to fraction form
    235,361.52/353,197.80 = 110,712.24/x
  3. Step 3: Cross multiply
    235,361.52x = 353,197.80 × 110,712.24
  4. Step 4: Simplify right side
    235,361.52x = 39,103,319,601.07
  5. Step 5: Solve for x
    x = 39,103,319,601.07/235,361.52
  6. Step 6: Final answer
    x = 166,141.52

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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.