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Finding the Fourth Proportional to 232,890.71, 349,086.87 and 120,457.71

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Solution

The fourth proportional to 232,890.71, 349,086.87 and 120,457.71 is: 180,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,890.71 : 349,086.87 = 120,457.71 : x
  2. Step 2: Convert to fraction form
    232,890.71/349,086.87 = 120,457.71/x
  3. Step 3: Cross multiply
    232,890.71x = 349,086.87 × 120,457.71
  4. Step 4: Simplify right side
    232,890.71x = 42,050,204,951.27
  5. Step 5: Solve for x
    x = 42,050,204,951.27/232,890.71
  6. Step 6: Final answer
    x = 180,557.68

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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.