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Finding the Fourth Proportional to 301,135.76, 415,567.96 and 165,170.83

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Solution

The fourth proportional to 301,135.76, 415,567.96 and 165,170.83 is: 227,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.76 : 415,567.96 = 165,170.83 : x
  2. Step 2: Convert to fraction form
    301,135.76/415,567.96 = 165,170.83/x
  3. Step 3: Cross multiply
    301,135.76x = 415,567.96 × 165,170.83
  4. Step 4: Simplify right side
    301,135.76x = 68,639,704,874.61
  5. Step 5: Solve for x
    x = 68,639,704,874.61/301,135.76
  6. Step 6: Final answer
    x = 227,936.08

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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.