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Finding the Fourth Proportional to 149,853.12, 224,757 and 56,337

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Solution

The fourth proportional to 149,853.12, 224,757 and 56,337 is: 84,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,853.12 : 224,757 = 56,337 : x
  2. Step 2: Convert to fraction form
    149,853.12/224,757 = 56,337/x
  3. Step 3: Cross multiply
    149,853.12x = 224,757 × 56,337
  4. Step 4: Simplify right side
    149,853.12x = 12,662,135,109
  5. Step 5: Solve for x
    x = 12,662,135,109/149,853.12
  6. Step 6: Final answer
    x = 84,496.97

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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.