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Finding the Fourth Proportional to 217,064.13, 323,671.38 and 202,586.19

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Solution

The fourth proportional to 217,064.13, 323,671.38 and 202,586.19 is: 302,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,064.13 : 323,671.38 = 202,586.19 : x
  2. Step 2: Convert to fraction form
    217,064.13/323,671.38 = 202,586.19/x
  3. Step 3: Cross multiply
    217,064.13x = 323,671.38 × 202,586.19
  4. Step 4: Simplify right side
    217,064.13x = 65,571,351,686.24
  5. Step 5: Solve for x
    x = 65,571,351,686.24/217,064.13
  6. Step 6: Final answer
    x = 302,082.85

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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.