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Finding the Fourth Proportional to 204,085.70, 306,128.55 and 202,117.40

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Solution

The fourth proportional to 204,085.70, 306,128.55 and 202,117.40 is: 303,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085.70 : 306,128.55 = 202,117.40 : x
  2. Step 2: Convert to fraction form
    204,085.70/306,128.55 = 202,117.40/x
  3. Step 3: Cross multiply
    204,085.70x = 306,128.55 × 202,117.40
  4. Step 4: Simplify right side
    204,085.70x = 61,873,906,591.77
  5. Step 5: Solve for x
    x = 61,873,906,591.77/204,085.70
  6. Step 6: Final answer
    x = 303,176.10

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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.