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Finding the Fourth Proportional to 271,764.60, 375,069.75 and 164,335.40

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Solution

The fourth proportional to 271,764.60, 375,069.75 and 164,335.40 is: 226,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.60 : 375,069.75 = 164,335.40 : x
  2. Step 2: Convert to fraction form
    271,764.60/375,069.75 = 164,335.40/x
  3. Step 3: Cross multiply
    271,764.60x = 375,069.75 × 164,335.40
  4. Step 4: Simplify right side
    271,764.60x = 61,637,237,394.15
  5. Step 5: Solve for x
    x = 61,637,237,394.15/271,764.60
  6. Step 6: Final answer
    x = 226,803.78

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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.