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Finding the Fourth Proportional to 271,627.42, 374,827.65 and 164,256.65

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Solution

The fourth proportional to 271,627.42, 374,827.65 and 164,256.65 is: 226,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,627.42 : 374,827.65 = 164,256.65 : x
  2. Step 2: Convert to fraction form
    271,627.42/374,827.65 = 164,256.65/x
  3. Step 3: Cross multiply
    271,627.42x = 374,827.65 × 164,256.65
  4. Step 4: Simplify right side
    271,627.42x = 61,567,934,116.37
  5. Step 5: Solve for x
    x = 61,567,934,116.37/271,627.42
  6. Step 6: Final answer
    x = 226,663.18

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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.