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Finding the Fourth Proportional to 235,358.52, 353,193.30 and 110,709.24

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Solution

The fourth proportional to 235,358.52, 353,193.30 and 110,709.24 is: 166,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,358.52 : 353,193.30 = 110,709.24 : x
  2. Step 2: Convert to fraction form
    235,358.52/353,193.30 = 110,709.24/x
  3. Step 3: Cross multiply
    235,358.52x = 353,193.30 × 110,709.24
  4. Step 4: Simplify right side
    235,358.52x = 39,101,761,816.09
  5. Step 5: Solve for x
    x = 39,101,761,816.09/235,358.52
  6. Step 6: Final answer
    x = 166,137.01

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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.