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Finding the Fourth Proportional to 205,058.10, 307,587.15 and 122,114.10

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Solution

The fourth proportional to 205,058.10, 307,587.15 and 122,114.10 is: 183,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.10 : 307,587.15 = 122,114.10 : x
  2. Step 2: Convert to fraction form
    205,058.10/307,587.15 = 122,114.10/x
  3. Step 3: Cross multiply
    205,058.10x = 307,587.15 × 122,114.10
  4. Step 4: Simplify right side
    205,058.10x = 37,560,727,993.82
  5. Step 5: Solve for x
    x = 37,560,727,993.82/205,058.10
  6. Step 6: Final answer
    x = 183,171.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.