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Finding the Fourth Proportional to 149,099, 223,512.42 and 136,113.08

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Solution

The fourth proportional to 149,099, 223,512.42 and 136,113.08 is: 204,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,099 : 223,512.42 = 136,113.08 : x
  2. Step 2: Convert to fraction form
    149,099/223,512.42 = 136,113.08/x
  3. Step 3: Cross multiply
    149,099x = 223,512.42 × 136,113.08
  4. Step 4: Simplify right side
    149,099x = 30,422,963,904.45
  5. Step 5: Solve for x
    x = 30,422,963,904.45/149,099
  6. Step 6: Final answer
    x = 204,045.39

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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.