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Finding the Fourth Proportional to 192,038.48, 288,102.52 and 65,679.70

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Solution

The fourth proportional to 192,038.48, 288,102.52 and 65,679.70 is: 98,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,038.48 : 288,102.52 = 65,679.70 : x
  2. Step 2: Convert to fraction form
    192,038.48/288,102.52 = 65,679.70/x
  3. Step 3: Cross multiply
    192,038.48x = 288,102.52 × 65,679.70
  4. Step 4: Simplify right side
    192,038.48x = 18,922,487,082.84
  5. Step 5: Solve for x
    x = 18,922,487,082.84/192,038.48
  6. Step 6: Final answer
    x = 98,534.87

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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.