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Finding the Fourth Proportional to 231,291.94, 346,311.50 and 120,250.66

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Solution

The fourth proportional to 231,291.94, 346,311.50 and 120,250.66 is: 180,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,291.94 : 346,311.50 = 120,250.66 : x
  2. Step 2: Convert to fraction form
    231,291.94/346,311.50 = 120,250.66/x
  3. Step 3: Cross multiply
    231,291.94x = 346,311.50 × 120,250.66
  4. Step 4: Simplify right side
    231,291.94x = 41,644,186,440.59
  5. Step 5: Solve for x
    x = 41,644,186,440.59/231,291.94
  6. Step 6: Final answer
    x = 180,050.31

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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.