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Finding the Fourth Proportional to 100,872.70, 151,090.35 and 65,443.30

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Solution

The fourth proportional to 100,872.70, 151,090.35 and 65,443.30 is: 98,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872.70 : 151,090.35 = 65,443.30 : x
  2. Step 2: Convert to fraction form
    100,872.70/151,090.35 = 65,443.30/x
  3. Step 3: Cross multiply
    100,872.70x = 151,090.35 × 65,443.30
  4. Step 4: Simplify right side
    100,872.70x = 9,887,851,102.16
  5. Step 5: Solve for x
    x = 9,887,851,102.16/100,872.70
  6. Step 6: Final answer
    x = 98,023.06

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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.