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Finding the Fourth Proportional to 235,405.67, 353,058.69 and 77,596.61

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Solution

The fourth proportional to 235,405.67, 353,058.69 and 77,596.61 is: 116,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,405.67 : 353,058.69 = 77,596.61 : x
  2. Step 2: Convert to fraction form
    235,405.67/353,058.69 = 77,596.61/x
  3. Step 3: Cross multiply
    235,405.67x = 353,058.69 × 77,596.61
  4. Step 4: Simplify right side
    235,405.67x = 27,396,157,475.04
  5. Step 5: Solve for x
    x = 27,396,157,475.04/235,405.67
  6. Step 6: Final answer
    x = 116,378.49

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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.