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Finding the Fourth Proportional to 283,931, 425,968.50 and 106,438.52

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Solution

The fourth proportional to 283,931, 425,968.50 and 106,438.52 is: 159,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,931 : 425,968.50 = 106,438.52 : x
  2. Step 2: Convert to fraction form
    283,931/425,968.50 = 106,438.52/x
  3. Step 3: Cross multiply
    283,931x = 425,968.50 × 106,438.52
  4. Step 4: Simplify right side
    283,931x = 45,339,456,706.62
  5. Step 5: Solve for x
    x = 45,339,456,706.62/283,931
  6. Step 6: Final answer
    x = 159,684.77

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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.