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Finding the Fourth Proportional to 465,160, 697,746.48 and 132,736

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Solution

The fourth proportional to 465,160, 697,746.48 and 132,736 is: 199,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,160 : 697,746.48 = 132,736 : x
  2. Step 2: Convert to fraction form
    465,160/697,746.48 = 132,736/x
  3. Step 3: Cross multiply
    465,160x = 697,746.48 × 132,736
  4. Step 4: Simplify right side
    465,160x = 92,616,076,769.28
  5. Step 5: Solve for x
    x = 92,616,076,769.28/465,160
  6. Step 6: Final answer
    x = 199,105.85

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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.