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Finding the Fourth Proportional to 192,397, 288,599.82 and 66,037

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Solution

The fourth proportional to 192,397, 288,599.82 and 66,037 is: 99,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,397 : 288,599.82 = 66,037 : x
  2. Step 2: Convert to fraction form
    192,397/288,599.82 = 66,037/x
  3. Step 3: Cross multiply
    192,397x = 288,599.82 × 66,037
  4. Step 4: Simplify right side
    192,397x = 19,058,266,313.34
  5. Step 5: Solve for x
    x = 19,058,266,313.34/192,397
  6. Step 6: Final answer
    x = 99,056.98

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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.