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Finding the Fourth Proportional to 100,704.32, 150,941.28 and 65,637.44

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Solution

The fourth proportional to 100,704.32, 150,941.28 and 65,637.44 is: 98,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.32 : 150,941.28 = 65,637.44 : x
  2. Step 2: Convert to fraction form
    100,704.32/150,941.28 = 65,637.44/x
  3. Step 3: Cross multiply
    100,704.32x = 150,941.28 × 65,637.44
  4. Step 4: Simplify right side
    100,704.32x = 9,907,399,209.52
  5. Step 5: Solve for x
    x = 9,907,399,209.52/100,704.32
  6. Step 6: Final answer
    x = 98,381.07

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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.