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Finding the Fourth Proportional to 118,361.44, 177,340.08 and 65,098

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Solution

The fourth proportional to 118,361.44, 177,340.08 and 65,098 is: 97,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,361.44 : 177,340.08 = 65,098 : x
  2. Step 2: Convert to fraction form
    118,361.44/177,340.08 = 65,098/x
  3. Step 3: Cross multiply
    118,361.44x = 177,340.08 × 65,098
  4. Step 4: Simplify right side
    118,361.44x = 11,544,484,527.84
  5. Step 5: Solve for x
    x = 11,544,484,527.84/118,361.44
  6. Step 6: Final answer
    x = 97,535.86

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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.