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Finding the Fourth Proportional to 271,758.35, 375,061.14 and 164,329.16

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Solution

The fourth proportional to 271,758.35, 375,061.14 and 164,329.16 is: 226,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,758.35 : 375,061.14 = 164,329.16 : x
  2. Step 2: Convert to fraction form
    271,758.35/375,061.14 = 164,329.16/x
  3. Step 3: Cross multiply
    271,758.35x = 375,061.14 × 164,329.16
  4. Step 4: Simplify right side
    271,758.35x = 61,633,480,209.54
  5. Step 5: Solve for x
    x = 61,633,480,209.54/271,758.35
  6. Step 6: Final answer
    x = 226,795.16

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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.