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Finding the Fourth Proportional to 192,144.84, 288,393.03 and 97,440.39

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Solution

The fourth proportional to 192,144.84, 288,393.03 and 97,440.39 is: 146,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,144.84 : 288,393.03 = 97,440.39 : x
  2. Step 2: Convert to fraction form
    192,144.84/288,393.03 = 97,440.39/x
  3. Step 3: Cross multiply
    192,144.84x = 288,393.03 × 97,440.39
  4. Step 4: Simplify right side
    192,144.84x = 28,101,129,316.48
  5. Step 5: Solve for x
    x = 28,101,129,316.48/192,144.84
  6. Step 6: Final answer
    x = 146,249.72

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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.