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Finding the Fourth Proportional to 465,159, 697,744.98 and 132,735

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Solution

The fourth proportional to 465,159, 697,744.98 and 132,735 is: 199,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,159 : 697,744.98 = 132,735 : x
  2. Step 2: Convert to fraction form
    465,159/697,744.98 = 132,735/x
  3. Step 3: Cross multiply
    465,159x = 697,744.98 × 132,735
  4. Step 4: Simplify right side
    465,159x = 92,615,179,920.30
  5. Step 5: Solve for x
    x = 92,615,179,920.30/465,159
  6. Step 6: Final answer
    x = 199,104.35

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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.