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Finding the Fourth Proportional to 522,131.84, 783,198.38 and 143,055.80

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Solution

The fourth proportional to 522,131.84, 783,198.38 and 143,055.80 is: 214,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,131.84 : 783,198.38 = 143,055.80 : x
  2. Step 2: Convert to fraction form
    522,131.84/783,198.38 = 143,055.80/x
  3. Step 3: Cross multiply
    522,131.84x = 783,198.38 × 143,055.80
  4. Step 4: Simplify right side
    522,131.84x = 112,041,070,809.60
  5. Step 5: Solve for x
    x = 112,041,070,809.60/522,131.84
  6. Step 6: Final answer
    x = 214,583.87

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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.