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Finding the Fourth Proportional to 271,764.47, 375,069.58 and 164,335.28

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Solution

The fourth proportional to 271,764.47, 375,069.58 and 164,335.28 is: 226,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.47 : 375,069.58 = 164,335.28 : x
  2. Step 2: Convert to fraction form
    271,764.47/375,069.58 = 164,335.28/x
  3. Step 3: Cross multiply
    271,764.47x = 375,069.58 × 164,335.28
  4. Step 4: Simplify right side
    271,764.47x = 61,637,162,162.60
  5. Step 5: Solve for x
    x = 61,637,162,162.60/271,764.47
  6. Step 6: Final answer
    x = 226,803.61

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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.