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Finding the Fourth Proportional to 138,138.95, 206,422.04 and 103,720.32

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Solution

The fourth proportional to 138,138.95, 206,422.04 and 103,720.32 is: 154,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.95 : 206,422.04 = 103,720.32 : x
  2. Step 2: Convert to fraction form
    138,138.95/206,422.04 = 103,720.32/x
  3. Step 3: Cross multiply
    138,138.95x = 206,422.04 × 103,720.32
  4. Step 4: Simplify right side
    138,138.95x = 21,410,160,303.15
  5. Step 5: Solve for x
    x = 21,410,160,303.15/138,138.95
  6. Step 6: Final answer
    x = 154,990.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.