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Finding the Fourth Proportional to 149,493.94, 224,113.91 and 69,578.32

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Solution

The fourth proportional to 149,493.94, 224,113.91 and 69,578.32 is: 104,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493.94 : 224,113.91 = 69,578.32 : x
  2. Step 2: Convert to fraction form
    149,493.94/224,113.91 = 69,578.32/x
  3. Step 3: Cross multiply
    149,493.94x = 224,113.91 × 69,578.32
  4. Step 4: Simplify right side
    149,493.94x = 15,593,467,877.97
  5. Step 5: Solve for x
    x = 15,593,467,877.97/149,493.94
  6. Step 6: Final answer
    x = 104,308.36

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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.