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Finding the Fourth Proportional to 254,682.60, 382,196.70 and 165,719.40

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Solution

The fourth proportional to 254,682.60, 382,196.70 and 165,719.40 is: 248,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,682.60 : 382,196.70 = 165,719.40 : x
  2. Step 2: Convert to fraction form
    254,682.60/382,196.70 = 165,719.40/x
  3. Step 3: Cross multiply
    254,682.60x = 382,196.70 × 165,719.40
  4. Step 4: Simplify right side
    254,682.60x = 63,337,407,805.98
  5. Step 5: Solve for x
    x = 63,337,407,805.98/254,682.60
  6. Step 6: Final answer
    x = 248,691.54

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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.