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Finding the Fourth Proportional to 166,165.50, 228,731.12 and 144,907.86

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Solution

The fourth proportional to 166,165.50, 228,731.12 and 144,907.86 is: 199,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,165.50 : 228,731.12 = 144,907.86 : x
  2. Step 2: Convert to fraction form
    166,165.50/228,731.12 = 144,907.86/x
  3. Step 3: Cross multiply
    166,165.50x = 228,731.12 × 144,907.86
  4. Step 4: Simplify right side
    166,165.50x = 33,144,937,114.60
  5. Step 5: Solve for x
    x = 33,144,937,114.60/166,165.50
  6. Step 6: Final answer
    x = 199,469.43

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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.