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Finding the Fourth Proportional to 137,264.40, 205,896.60 and 132,015.60

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Solution

The fourth proportional to 137,264.40, 205,896.60 and 132,015.60 is: 198,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264.40 : 205,896.60 = 132,015.60 : x
  2. Step 2: Convert to fraction form
    137,264.40/205,896.60 = 132,015.60/x
  3. Step 3: Cross multiply
    137,264.40x = 205,896.60 × 132,015.60
  4. Step 4: Simplify right side
    137,264.40x = 27,181,563,186.96
  5. Step 5: Solve for x
    x = 27,181,563,186.96/137,264.40
  6. Step 6: Final answer
    x = 198,023.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.