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Finding the Fourth Proportional to 106,234.96, 146,408.96 and 99,493.52

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Solution

The fourth proportional to 106,234.96, 146,408.96 and 99,493.52 is: 137,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234.96 : 146,408.96 = 99,493.52 : x
  2. Step 2: Convert to fraction form
    106,234.96/146,408.96 = 99,493.52/x
  3. Step 3: Cross multiply
    106,234.96x = 146,408.96 × 99,493.52
  4. Step 4: Simplify right side
    106,234.96x = 14,566,742,789.94
  5. Step 5: Solve for x
    x = 14,566,742,789.94/106,234.96
  6. Step 6: Final answer
    x = 137,118.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.