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Finding the Fourth Proportional to 204,442.68, 282,082.70 and 171,860.99

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Solution

The fourth proportional to 204,442.68, 282,082.70 and 171,860.99 is: 237,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,442.68 : 282,082.70 = 171,860.99 : x
  2. Step 2: Convert to fraction form
    204,442.68/282,082.70 = 171,860.99/x
  3. Step 3: Cross multiply
    204,442.68x = 282,082.70 × 171,860.99
  4. Step 4: Simplify right side
    204,442.68x = 48,479,011,929.77
  5. Step 5: Solve for x
    x = 48,479,011,929.77/204,442.68
  6. Step 6: Final answer
    x = 237,127.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.