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Finding the Fourth Proportional to 149,356.57, 206,111.95 and 82,288.57

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Solution

The fourth proportional to 149,356.57, 206,111.95 and 82,288.57 is: 113,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356.57 : 206,111.95 = 82,288.57 : x
  2. Step 2: Convert to fraction form
    149,356.57/206,111.95 = 82,288.57/x
  3. Step 3: Cross multiply
    149,356.57x = 206,111.95 × 82,288.57
  4. Step 4: Simplify right side
    149,356.57x = 16,960,657,625.41
  5. Step 5: Solve for x
    x = 16,960,657,625.41/149,356.57
  6. Step 6: Final answer
    x = 113,558.16

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Why These Related Problems?

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