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Finding the Fourth Proportional to 149,377, 206,144.58 and 82,313.32

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Solution

The fourth proportional to 149,377, 206,144.58 and 82,313.32 is: 113,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,377 : 206,144.58 = 82,313.32 : x
  2. Step 2: Convert to fraction form
    149,377/206,144.58 = 82,313.32/x
  3. Step 3: Cross multiply
    149,377x = 206,144.58 × 82,313.32
  4. Step 4: Simplify right side
    149,377x = 16,968,444,779.81
  5. Step 5: Solve for x
    x = 16,968,444,779.81/149,377
  6. Step 6: Final answer
    x = 113,594.76

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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.