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Finding the Fourth Proportional to 522,098.13, 783,147.78 and 143,022.11

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Solution

The fourth proportional to 522,098.13, 783,147.78 and 143,022.11 is: 214,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,098.13 : 783,147.78 = 143,022.11 : x
  2. Step 2: Convert to fraction form
    522,098.13/783,147.78 = 143,022.11/x
  3. Step 3: Cross multiply
    522,098.13x = 783,147.78 × 143,022.11
  4. Step 4: Simplify right side
    522,098.13x = 112,007,447,937.42
  5. Step 5: Solve for x
    x = 112,007,447,937.42/522,098.13
  6. Step 6: Final answer
    x = 214,533.33

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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.