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Finding the Fourth Proportional to 205,272.10, 307,908.15 and 134,769.70

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Solution

The fourth proportional to 205,272.10, 307,908.15 and 134,769.70 is: 202,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,272.10 : 307,908.15 = 134,769.70 : x
  2. Step 2: Convert to fraction form
    205,272.10/307,908.15 = 134,769.70/x
  3. Step 3: Cross multiply
    205,272.10x = 307,908.15 × 134,769.70
  4. Step 4: Simplify right side
    205,272.10x = 41,496,689,003.06
  5. Step 5: Solve for x
    x = 41,496,689,003.06/205,272.10
  6. Step 6: Final answer
    x = 202,154.55

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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.