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Finding the Fourth Proportional to 135,966, 203,803.20 and 65,690.40

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Solution

The fourth proportional to 135,966, 203,803.20 and 65,690.40 is: 98,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966 : 203,803.20 = 65,690.40 : x
  2. Step 2: Convert to fraction form
    135,966/203,803.20 = 65,690.40/x
  3. Step 3: Cross multiply
    135,966x = 203,803.20 × 65,690.40
  4. Step 4: Simplify right side
    135,966x = 13,387,913,729.28
  5. Step 5: Solve for x
    x = 13,387,913,729.28/135,966
  6. Step 6: Final answer
    x = 98,465.16

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