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Finding the Fourth Proportional to 166,166.50, 228,732.50 and 144,908.86

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Solution

The fourth proportional to 166,166.50, 228,732.50 and 144,908.86 is: 199,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,166.50 : 228,732.50 = 144,908.86 : x
  2. Step 2: Convert to fraction form
    166,166.50/228,732.50 = 144,908.86/x
  3. Step 3: Cross multiply
    166,166.50x = 228,732.50 × 144,908.86
  4. Step 4: Simplify right side
    166,166.50x = 33,145,365,819.95
  5. Step 5: Solve for x
    x = 33,145,365,819.95/166,166.50
  6. Step 6: Final answer
    x = 199,470.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.