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Finding the Fourth Proportional to 164,035.86, 224,893.15 and 161,046.51

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Solution

The fourth proportional to 164,035.86, 224,893.15 and 161,046.51 is: 220,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,035.86 : 224,893.15 = 161,046.51 : x
  2. Step 2: Convert to fraction form
    164,035.86/224,893.15 = 161,046.51/x
  3. Step 3: Cross multiply
    164,035.86x = 224,893.15 × 161,046.51
  4. Step 4: Simplify right side
    164,035.86x = 36,218,256,930.41
  5. Step 5: Solve for x
    x = 36,218,256,930.41/164,035.86
  6. Step 6: Final answer
    x = 220,794.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.