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Finding the Fourth Proportional to 224,395.84, 336,494.76 and 84,056

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Solution

The fourth proportional to 224,395.84, 336,494.76 and 84,056 is: 126,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,395.84 : 336,494.76 = 84,056 : x
  2. Step 2: Convert to fraction form
    224,395.84/336,494.76 = 84,056/x
  3. Step 3: Cross multiply
    224,395.84x = 336,494.76 × 84,056
  4. Step 4: Simplify right side
    224,395.84x = 28,284,403,546.56
  5. Step 5: Solve for x
    x = 28,284,403,546.56/224,395.84
  6. Step 6: Final answer
    x = 126,046.92

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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.