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Finding the Fourth Proportional to 149,813.57, 206,741.36 and 81,830.53

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Solution

The fourth proportional to 149,813.57, 206,741.36 and 81,830.53 is: 112,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,813.57 : 206,741.36 = 81,830.53 : x
  2. Step 2: Convert to fraction form
    149,813.57/206,741.36 = 81,830.53/x
  3. Step 3: Cross multiply
    149,813.57x = 206,741.36 × 81,830.53
  4. Step 4: Simplify right side
    149,813.57x = 16,917,755,064.43
  5. Step 5: Solve for x
    x = 16,917,755,064.43/149,813.57
  6. Step 6: Final answer
    x = 112,925.39

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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.