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Finding the Fourth Proportional to 149,342, 224,007.20 and 37,022.48

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Solution

The fourth proportional to 149,342, 224,007.20 and 37,022.48 is: 55,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,342 : 224,007.20 = 37,022.48 : x
  2. Step 2: Convert to fraction form
    149,342/224,007.20 = 37,022.48/x
  3. Step 3: Cross multiply
    149,342x = 224,007.20 × 37,022.48
  4. Step 4: Simplify right side
    149,342x = 8,293,302,081.86
  5. Step 5: Solve for x
    x = 8,293,302,081.86/149,342
  6. Step 6: Final answer
    x = 55,532.28

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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.