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Finding the Fourth Proportional to 301,998.90, 416,747.85 and 166,031.85

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Solution

The fourth proportional to 301,998.90, 416,747.85 and 166,031.85 is: 229,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,998.90 : 416,747.85 = 166,031.85 : x
  2. Step 2: Convert to fraction form
    301,998.90/416,747.85 = 166,031.85/x
  3. Step 3: Cross multiply
    301,998.90x = 416,747.85 × 166,031.85
  4. Step 4: Simplify right side
    301,998.90x = 69,193,416,519.02
  5. Step 5: Solve for x
    x = 69,193,416,519.02/301,998.90
  6. Step 6: Final answer
    x = 229,118.11

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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.