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Finding the Fourth Proportional to 149,846.10, 224,769.15 and 61,053.90

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Solution

The fourth proportional to 149,846.10, 224,769.15 and 61,053.90 is: 91,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.10 : 224,769.15 = 61,053.90 : x
  2. Step 2: Convert to fraction form
    149,846.10/224,769.15 = 61,053.90/x
  3. Step 3: Cross multiply
    149,846.10x = 224,769.15 × 61,053.90
  4. Step 4: Simplify right side
    149,846.10x = 13,723,033,207.19
  5. Step 5: Solve for x
    x = 13,723,033,207.19/149,846.10
  6. Step 6: Final answer
    x = 91,580.85

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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.