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Finding the Fourth Proportional to 432,160.86, 648,216.66 and 132,640.98

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Solution

The fourth proportional to 432,160.86, 648,216.66 and 132,640.98 is: 198,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,160.86 : 648,216.66 = 132,640.98 : x
  2. Step 2: Convert to fraction form
    432,160.86/648,216.66 = 132,640.98/x
  3. Step 3: Cross multiply
    432,160.86x = 648,216.66 × 132,640.98
  4. Step 4: Simplify right side
    432,160.86x = 85,980,093,034.73
  5. Step 5: Solve for x
    x = 85,980,093,034.73/432,160.86
  6. Step 6: Final answer
    x = 198,953.91

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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.