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Finding the Fourth Proportional to 230,822.60, 346,233.90 and 106,406.60

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Solution

The fourth proportional to 230,822.60, 346,233.90 and 106,406.60 is: 159,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.60 : 346,233.90 = 106,406.60 : x
  2. Step 2: Convert to fraction form
    230,822.60/346,233.90 = 106,406.60/x
  3. Step 3: Cross multiply
    230,822.60x = 346,233.90 × 106,406.60
  4. Step 4: Simplify right side
    230,822.60x = 36,841,572,103.74
  5. Step 5: Solve for x
    x = 36,841,572,103.74/230,822.60
  6. Step 6: Final answer
    x = 159,609.90

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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.