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Finding the Fourth Proportional to 113,756, 156,963.84 and 65,998.40

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Solution

The fourth proportional to 113,756, 156,963.84 and 65,998.40 is: 91,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,756 : 156,963.84 = 65,998.40 : x
  2. Step 2: Convert to fraction form
    113,756/156,963.84 = 65,998.40/x
  3. Step 3: Cross multiply
    113,756x = 156,963.84 × 65,998.40
  4. Step 4: Simplify right side
    113,756x = 10,359,362,297.86
  5. Step 5: Solve for x
    x = 10,359,362,297.86/113,756
  6. Step 6: Final answer
    x = 91,066.51

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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.