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Finding the Fourth Proportional to 136,181.76, 204,266.48 and 36,339.74

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Solution

The fourth proportional to 136,181.76, 204,266.48 and 36,339.74 is: 54,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,181.76 : 204,266.48 = 36,339.74 : x
  2. Step 2: Convert to fraction form
    136,181.76/204,266.48 = 36,339.74/x
  3. Step 3: Cross multiply
    136,181.76x = 204,266.48 × 36,339.74
  4. Step 4: Simplify right side
    136,181.76x = 7,422,990,643.50
  5. Step 5: Solve for x
    x = 7,422,990,643.50/136,181.76
  6. Step 6: Final answer
    x = 54,507.97

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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.