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Finding the Fourth Proportional to 235,407.75, 353,267.15 and 110,758.47

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Solution

The fourth proportional to 235,407.75, 353,267.15 and 110,758.47 is: 166,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,407.75 : 353,267.15 = 110,758.47 : x
  2. Step 2: Convert to fraction form
    235,407.75/353,267.15 = 110,758.47/x
  3. Step 3: Cross multiply
    235,407.75x = 353,267.15 × 110,758.47
  4. Step 4: Simplify right side
    235,407.75x = 39,127,329,035.26
  5. Step 5: Solve for x
    x = 39,127,329,035.26/235,407.75
  6. Step 6: Final answer
    x = 166,210.88

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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.