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Finding the Fourth Proportional to 465,166.50, 697,756.23 and 132,742.50

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Solution

The fourth proportional to 465,166.50, 697,756.23 and 132,742.50 is: 199,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,166.50 : 697,756.23 = 132,742.50 : x
  2. Step 2: Convert to fraction form
    465,166.50/697,756.23 = 132,742.50/x
  3. Step 3: Cross multiply
    465,166.50x = 697,756.23 × 132,742.50
  4. Step 4: Simplify right side
    465,166.50x = 92,621,906,360.78
  5. Step 5: Solve for x
    x = 92,621,906,360.78/465,166.50
  6. Step 6: Final answer
    x = 199,115.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.