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Finding the Fourth Proportional to 149,356, 206,111.28 and 82,292.32

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Solution

The fourth proportional to 149,356, 206,111.28 and 82,292.32 is: 113,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356 : 206,111.28 = 82,292.32 : x
  2. Step 2: Convert to fraction form
    149,356/206,111.28 = 82,292.32/x
  3. Step 3: Cross multiply
    149,356x = 206,111.28 × 82,292.32
  4. Step 4: Simplify right side
    149,356x = 16,961,375,409.37
  5. Step 5: Solve for x
    x = 16,961,375,409.37/149,356
  6. Step 6: Final answer
    x = 113,563.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.