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Finding the Fourth Proportional to 213,046.53, 319,546.18 and 76,264.22

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Solution

The fourth proportional to 213,046.53, 319,546.18 and 76,264.22 is: 114,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,046.53 : 319,546.18 = 76,264.22 : x
  2. Step 2: Convert to fraction form
    213,046.53/319,546.18 = 76,264.22/x
  3. Step 3: Cross multiply
    213,046.53x = 319,546.18 × 76,264.22
  4. Step 4: Simplify right side
    213,046.53x = 24,369,938,669.28
  5. Step 5: Solve for x
    x = 24,369,938,669.28/213,046.53
  6. Step 6: Final answer
    x = 114,387.87

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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.