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Finding the Fourth Proportional to 283,933, 425,971.50 and 106,440.52

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Solution

The fourth proportional to 283,933, 425,971.50 and 106,440.52 is: 159,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,933 : 425,971.50 = 106,440.52 : x
  2. Step 2: Convert to fraction form
    283,933/425,971.50 = 106,440.52/x
  3. Step 3: Cross multiply
    283,933x = 425,971.50 × 106,440.52
  4. Step 4: Simplify right side
    283,933x = 45,340,627,965.18
  5. Step 5: Solve for x
    x = 45,340,627,965.18/283,933
  6. Step 6: Final answer
    x = 159,687.77

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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.