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Finding the Fourth Proportional to 217,881.80, 326,822.70 and 202,135.40

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Solution

The fourth proportional to 217,881.80, 326,822.70 and 202,135.40 is: 303,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,881.80 : 326,822.70 = 202,135.40 : x
  2. Step 2: Convert to fraction form
    217,881.80/326,822.70 = 202,135.40/x
  3. Step 3: Cross multiply
    217,881.80x = 326,822.70 × 202,135.40
  4. Step 4: Simplify right side
    217,881.80x = 66,062,437,193.58
  5. Step 5: Solve for x
    x = 66,062,437,193.58/217,881.80
  6. Step 6: Final answer
    x = 303,203.10

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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.