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Finding the Fourth Proportional to 149,200.01, 205,905.35 and 82,132.01

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Solution

The fourth proportional to 149,200.01, 205,905.35 and 82,132.01 is: 113,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,200.01 : 205,905.35 = 82,132.01 : x
  2. Step 2: Convert to fraction form
    149,200.01/205,905.35 = 82,132.01/x
  3. Step 3: Cross multiply
    149,200.01x = 205,905.35 × 82,132.01
  4. Step 4: Simplify right side
    149,200.01x = 16,911,419,854.59
  5. Step 5: Solve for x
    x = 16,911,419,854.59/149,200.01
  6. Step 6: Final answer
    x = 113,347.31

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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.