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Finding the Fourth Proportional to 254,696.60, 382,217.70 and 165,733.40

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Solution

The fourth proportional to 254,696.60, 382,217.70 and 165,733.40 is: 248,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,696.60 : 382,217.70 = 165,733.40 : x
  2. Step 2: Convert to fraction form
    254,696.60/382,217.70 = 165,733.40/x
  3. Step 3: Cross multiply
    254,696.60x = 382,217.70 × 165,733.40
  4. Step 4: Simplify right side
    254,696.60x = 63,346,238,961.18
  5. Step 5: Solve for x
    x = 63,346,238,961.18/254,696.60
  6. Step 6: Final answer
    x = 248,712.54

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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.