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Finding the Fourth Proportional to 514,754.53, 772,120.86 and 140,777.53

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Solution

The fourth proportional to 514,754.53, 772,120.86 and 140,777.53 is: 211,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,754.53 : 772,120.86 = 140,777.53 : x
  2. Step 2: Convert to fraction form
    514,754.53/772,120.86 = 140,777.53/x
  3. Step 3: Cross multiply
    514,754.53x = 772,120.86 × 140,777.53
  4. Step 4: Simplify right side
    514,754.53x = 108,697,267,532.28
  5. Step 5: Solve for x
    x = 108,697,267,532.28/514,754.53
  6. Step 6: Final answer
    x = 211,163.30

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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.