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Finding the Fourth Proportional to 149,367.78, 224,039.39 and 49,495.32

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Solution

The fourth proportional to 149,367.78, 224,039.39 and 49,495.32 is: 74,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,367.78 : 224,039.39 = 49,495.32 : x
  2. Step 2: Convert to fraction form
    149,367.78/224,039.39 = 49,495.32/x
  3. Step 3: Cross multiply
    149,367.78x = 224,039.39 × 49,495.32
  4. Step 4: Simplify right side
    149,367.78x = 11,088,901,053.18
  5. Step 5: Solve for x
    x = 11,088,901,053.18/149,367.78
  6. Step 6: Final answer
    x = 74,238.91

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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.