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Finding the Fourth Proportional to 119,435.16, 179,178.66 and 36,327

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Solution

The fourth proportional to 119,435.16, 179,178.66 and 36,327 is: 54,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,435.16 : 179,178.66 = 36,327 : x
  2. Step 2: Convert to fraction form
    119,435.16/179,178.66 = 36,327/x
  3. Step 3: Cross multiply
    119,435.16x = 179,178.66 × 36,327
  4. Step 4: Simplify right side
    119,435.16x = 6,509,023,181.82
  5. Step 5: Solve for x
    x = 6,509,023,181.82/119,435.16
  6. Step 6: Final answer
    x = 54,498.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.