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Finding the Fourth Proportional to 301,264.90, 415,753.21 and 165,298.81

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Solution

The fourth proportional to 301,264.90, 415,753.21 and 165,298.81 is: 228,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.90 : 415,753.21 = 165,298.81 : x
  2. Step 2: Convert to fraction form
    301,264.90/415,753.21 = 165,298.81/x
  3. Step 3: Cross multiply
    301,264.90x = 415,753.21 × 165,298.81
  4. Step 4: Simplify right side
    301,264.90x = 68,723,510,866.68
  5. Step 5: Solve for x
    x = 68,723,510,866.68/301,264.90
  6. Step 6: Final answer
    x = 228,116.56

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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.