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Finding the Fourth Proportional to 299,348.60, 413,171.98 and 172,098.12

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Solution

The fourth proportional to 299,348.60, 413,171.98 and 172,098.12 is: 237,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.60 : 413,171.98 = 172,098.12 : x
  2. Step 2: Convert to fraction form
    299,348.60/413,171.98 = 172,098.12/x
  3. Step 3: Cross multiply
    299,348.60x = 413,171.98 × 172,098.12
  4. Step 4: Simplify right side
    299,348.60x = 71,106,120,994.68
  5. Step 5: Solve for x
    x = 71,106,120,994.68/299,348.60
  6. Step 6: Final answer
    x = 237,536.17

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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.