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Finding the Fourth Proportional to 301,097.62, 415,520.05 and 165,130.38

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Solution

The fourth proportional to 301,097.62, 415,520.05 and 165,130.38 is: 227,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.62 : 415,520.05 = 165,130.38 : x
  2. Step 2: Convert to fraction form
    301,097.62/415,520.05 = 165,130.38/x
  3. Step 3: Cross multiply
    301,097.62x = 415,520.05 × 165,130.38
  4. Step 4: Simplify right side
    301,097.62x = 68,614,983,754.12
  5. Step 5: Solve for x
    x = 68,614,983,754.12/301,097.62
  6. Step 6: Final answer
    x = 227,882.85

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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.