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Finding the Fourth Proportional to 522,103.52, 783,155.96 and 143,027.58

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Solution

The fourth proportional to 522,103.52, 783,155.96 and 143,027.58 is: 214,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,103.52 : 783,155.96 = 143,027.58 : x
  2. Step 2: Convert to fraction form
    522,103.52/783,155.96 = 143,027.58/x
  3. Step 3: Cross multiply
    522,103.52x = 783,155.96 × 143,027.58
  4. Step 4: Simplify right side
    522,103.52x = 112,012,901,721.38
  5. Step 5: Solve for x
    x = 112,012,901,721.38/522,103.52
  6. Step 6: Final answer
    x = 214,541.56

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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.