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Finding the Fourth Proportional to 159,224.84, 238,797.18 and 46,882.52

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Solution

The fourth proportional to 159,224.84, 238,797.18 and 46,882.52 is: 70,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,224.84 : 238,797.18 = 46,882.52 : x
  2. Step 2: Convert to fraction form
    159,224.84/238,797.18 = 46,882.52/x
  3. Step 3: Cross multiply
    159,224.84x = 238,797.18 × 46,882.52
  4. Step 4: Simplify right side
    159,224.84x = 11,195,413,567.29
  5. Step 5: Solve for x
    x = 11,195,413,567.29/159,224.84
  6. Step 6: Final answer
    x = 70,311.98

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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.