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Finding the Fourth Proportional to 271,919.39, 375,283.36 and 164,490.20

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Solution

The fourth proportional to 271,919.39, 375,283.36 and 164,490.20 is: 227,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,919.39 : 375,283.36 = 164,490.20 : x
  2. Step 2: Convert to fraction form
    271,919.39/375,283.36 = 164,490.20/x
  3. Step 3: Cross multiply
    271,919.39x = 375,283.36 × 164,490.20
  4. Step 4: Simplify right side
    271,919.39x = 61,730,433,066.66
  5. Step 5: Solve for x
    x = 61,730,433,066.66/271,919.39
  6. Step 6: Final answer
    x = 227,017.40

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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.