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Finding the Fourth Proportional to 100,825.20, 151,237.80 and 65,395.80

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Solution

The fourth proportional to 100,825.20, 151,237.80 and 65,395.80 is: 98,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825.20 : 151,237.80 = 65,395.80 : x
  2. Step 2: Convert to fraction form
    100,825.20/151,237.80 = 65,395.80/x
  3. Step 3: Cross multiply
    100,825.20x = 151,237.80 × 65,395.80
  4. Step 4: Simplify right side
    100,825.20x = 9,890,316,921.24
  5. Step 5: Solve for x
    x = 9,890,316,921.24/100,825.20
  6. Step 6: Final answer
    x = 98,093.70

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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.