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Finding the Fourth Proportional to 465,156, 697,740.48 and 132,732

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Solution

The fourth proportional to 465,156, 697,740.48 and 132,732 is: 199,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,156 : 697,740.48 = 132,732 : x
  2. Step 2: Convert to fraction form
    465,156/697,740.48 = 132,732/x
  3. Step 3: Cross multiply
    465,156x = 697,740.48 × 132,732
  4. Step 4: Simplify right side
    465,156x = 92,612,489,391.36
  5. Step 5: Solve for x
    x = 92,612,489,391.36/465,156
  6. Step 6: Final answer
    x = 199,099.85

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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.