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Finding the Fourth Proportional to 257,521.30, 384,715.51 and 166,825.73

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Solution

The fourth proportional to 257,521.30, 384,715.51 and 166,825.73 is: 249,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,521.30 : 384,715.51 = 166,825.73 : x
  2. Step 2: Convert to fraction form
    257,521.30/384,715.51 = 166,825.73/x
  3. Step 3: Cross multiply
    257,521.30x = 384,715.51 × 166,825.73
  4. Step 4: Simplify right side
    257,521.30x = 64,180,444,882.57
  5. Step 5: Solve for x
    x = 64,180,444,882.57/257,521.30
  6. Step 6: Final answer
    x = 249,223.83

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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.