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Finding the Fourth Proportional to 149,386.08, 206,151.68 and 82,318.08

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Solution

The fourth proportional to 149,386.08, 206,151.68 and 82,318.08 is: 113,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,386.08 : 206,151.68 = 82,318.08 : x
  2. Step 2: Convert to fraction form
    149,386.08/206,151.68 = 82,318.08/x
  3. Step 3: Cross multiply
    149,386.08x = 206,151.68 × 82,318.08
  4. Step 4: Simplify right side
    149,386.08x = 16,970,010,486.37
  5. Step 5: Solve for x
    x = 16,970,010,486.37/149,386.08
  6. Step 6: Final answer
    x = 113,598.34

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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.