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Finding the Fourth Proportional to 301,103.71, 415,523.12 and 166,967.71

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Solution

The fourth proportional to 301,103.71, 415,523.12 and 166,967.71 is: 230,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,103.71 : 415,523.12 = 166,967.71 : x
  2. Step 2: Convert to fraction form
    301,103.71/415,523.12 = 166,967.71/x
  3. Step 3: Cross multiply
    301,103.71x = 415,523.12 × 166,967.71
  4. Step 4: Simplify right side
    301,103.71x = 69,378,943,798.46
  5. Step 5: Solve for x
    x = 69,378,943,798.46/301,103.71
  6. Step 6: Final answer
    x = 230,415.44

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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.