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Finding the Fourth Proportional to 192,230.42, 288,353.48 and 65,957.49

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Solution

The fourth proportional to 192,230.42, 288,353.48 and 65,957.49 is: 98,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,230.42 : 288,353.48 = 65,957.49 : x
  2. Step 2: Convert to fraction form
    192,230.42/288,353.48 = 65,957.49/x
  3. Step 3: Cross multiply
    192,230.42x = 288,353.48 × 65,957.49
  4. Step 4: Simplify right side
    192,230.42x = 19,019,071,443.78
  5. Step 5: Solve for x
    x = 19,019,071,443.78/192,230.42
  6. Step 6: Final answer
    x = 98,938.93

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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.