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Finding the Fourth Proportional to 234,218, 351,326.34 and 180,987.44

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Solution

The fourth proportional to 234,218, 351,326.34 and 180,987.44 is: 271,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,218 : 351,326.34 = 180,987.44 : x
  2. Step 2: Convert to fraction form
    234,218/351,326.34 = 180,987.44/x
  3. Step 3: Cross multiply
    234,218x = 351,326.34 × 180,987.44
  4. Step 4: Simplify right side
    234,218x = 63,585,654,881.17
  5. Step 5: Solve for x
    x = 63,585,654,881.17/234,218
  6. Step 6: Final answer
    x = 271,480.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.