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Finding the Fourth Proportional to 149,411.52, 206,189.28 and 82,345.92

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Solution

The fourth proportional to 149,411.52, 206,189.28 and 82,345.92 is: 113,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,411.52 : 206,189.28 = 82,345.92 : x
  2. Step 2: Convert to fraction form
    149,411.52/206,189.28 = 82,345.92/x
  3. Step 3: Cross multiply
    149,411.52x = 206,189.28 × 82,345.92
  4. Step 4: Simplify right side
    149,411.52x = 16,978,845,955.74
  5. Step 5: Solve for x
    x = 16,978,845,955.74/149,411.52
  6. Step 6: Final answer
    x = 113,638.13

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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.