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Finding the Fourth Proportional to 235,296.77, 353,014.43 and 85,534.70

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Solution

The fourth proportional to 235,296.77, 353,014.43 and 85,534.70 is: 128,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,296.77 : 353,014.43 = 85,534.70 : x
  2. Step 2: Convert to fraction form
    235,296.77/353,014.43 = 85,534.70/x
  3. Step 3: Cross multiply
    235,296.77x = 353,014.43 × 85,534.70
  4. Step 4: Simplify right side
    235,296.77x = 30,194,981,172.98
  5. Step 5: Solve for x
    x = 30,194,981,172.98/235,296.77
  6. Step 6: Final answer
    x = 128,327.23

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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.