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Finding the Fourth Proportional to 100,945.80, 151,418.70 and 100,254.60

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Solution

The fourth proportional to 100,945.80, 151,418.70 and 100,254.60 is: 150,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945.80 : 151,418.70 = 100,254.60 : x
  2. Step 2: Convert to fraction form
    100,945.80/151,418.70 = 100,254.60/x
  3. Step 3: Cross multiply
    100,945.80x = 151,418.70 × 100,254.60
  4. Step 4: Simplify right side
    100,945.80x = 15,180,421,201.02
  5. Step 5: Solve for x
    x = 15,180,421,201.02/100,945.80
  6. Step 6: Final answer
    x = 150,381.90

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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.