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Finding the Fourth Proportional to 194,295.72, 290,989.98 and 149,567.56

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Solution

The fourth proportional to 194,295.72, 290,989.98 and 149,567.56 is: 224,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.72 : 290,989.98 = 149,567.56 : x
  2. Step 2: Convert to fraction form
    194,295.72/290,989.98 = 149,567.56/x
  3. Step 3: Cross multiply
    194,295.72x = 290,989.98 × 149,567.56
  4. Step 4: Simplify right side
    194,295.72x = 43,522,661,293.05
  5. Step 5: Solve for x
    x = 43,522,661,293.05/194,295.72
  6. Step 6: Final answer
    x = 224,002.16

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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.