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Finding the Fourth Proportional to 123,806.58, 185,815.92 and 122,874.68

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Solution

The fourth proportional to 123,806.58, 185,815.92 and 122,874.68 is: 184,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,806.58 : 185,815.92 = 122,874.68 : x
  2. Step 2: Convert to fraction form
    123,806.58/185,815.92 = 122,874.68/x
  3. Step 3: Cross multiply
    123,806.58x = 185,815.92 × 122,874.68
  4. Step 4: Simplify right side
    123,806.58x = 22,832,071,246.25
  5. Step 5: Solve for x
    x = 22,832,071,246.25/123,806.58
  6. Step 6: Final answer
    x = 184,417.26

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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.