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Finding the Fourth Proportional to 230,823.90, 346,026.87 and 90,544.86

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Solution

The fourth proportional to 230,823.90, 346,026.87 and 90,544.86 is: 135,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823.90 : 346,026.87 = 90,544.86 : x
  2. Step 2: Convert to fraction form
    230,823.90/346,026.87 = 90,544.86/x
  3. Step 3: Cross multiply
    230,823.90x = 346,026.87 × 90,544.86
  4. Step 4: Simplify right side
    230,823.90x = 31,330,954,500.39
  5. Step 5: Solve for x
    x = 31,330,954,500.39/230,823.90
  6. Step 6: Final answer
    x = 135,735.31

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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.