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Finding the Fourth Proportional to 283,540.70, 425,319.24 and 106,013.81

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Solution

The fourth proportional to 283,540.70, 425,319.24 and 106,013.81 is: 159,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,540.70 : 425,319.24 = 106,013.81 : x
  2. Step 2: Convert to fraction form
    283,540.70/425,319.24 = 106,013.81/x
  3. Step 3: Cross multiply
    283,540.70x = 425,319.24 × 106,013.81
  4. Step 4: Simplify right side
    283,540.70x = 45,089,710,972.11
  5. Step 5: Solve for x
    x = 45,089,710,972.11/283,540.70
  6. Step 6: Final answer
    x = 159,023.77

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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.