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Finding the Fourth Proportional to 205,309.10, 306,065.84 and 202,073.70

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Solution

The fourth proportional to 205,309.10, 306,065.84 and 202,073.70 is: 301,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,309.10 : 306,065.84 = 202,073.70 : x
  2. Step 2: Convert to fraction form
    205,309.10/306,065.84 = 202,073.70/x
  3. Step 3: Cross multiply
    205,309.10x = 306,065.84 × 202,073.70
  4. Step 4: Simplify right side
    205,309.10x = 61,847,856,732.41
  5. Step 5: Solve for x
    x = 61,847,856,732.41/205,309.10
  6. Step 6: Final answer
    x = 301,242.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.