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Finding the Fourth Proportional to 271,764.61, 375,069.75 and 164,335.42

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Solution

The fourth proportional to 271,764.61, 375,069.75 and 164,335.42 is: 226,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.61 : 375,069.75 = 164,335.42 : x
  2. Step 2: Convert to fraction form
    271,764.61/375,069.75 = 164,335.42/x
  3. Step 3: Cross multiply
    271,764.61x = 375,069.75 × 164,335.42
  4. Step 4: Simplify right side
    271,764.61x = 61,637,244,895.55
  5. Step 5: Solve for x
    x = 61,637,244,895.55/271,764.61
  6. Step 6: Final answer
    x = 226,803.80

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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.