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Finding the Fourth Proportional to 149,897.79, 224,935.22 and 55,194.46

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Solution

The fourth proportional to 149,897.79, 224,935.22 and 55,194.46 is: 82,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,897.79 : 224,935.22 = 55,194.46 : x
  2. Step 2: Convert to fraction form
    149,897.79/224,935.22 = 55,194.46/x
  3. Step 3: Cross multiply
    149,897.79x = 224,935.22 × 55,194.46
  4. Step 4: Simplify right side
    149,897.79x = 12,415,176,878.21
  5. Step 5: Solve for x
    x = 12,415,176,878.21/149,897.79
  6. Step 6: Final answer
    x = 82,824.29

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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.