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Finding the Fourth Proportional to 150,296.42, 207,309.31 and 96,649.31

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Solution

The fourth proportional to 150,296.42, 207,309.31 and 96,649.31 is: 133,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,296.42 : 207,309.31 = 96,649.31 : x
  2. Step 2: Convert to fraction form
    150,296.42/207,309.31 = 96,649.31/x
  3. Step 3: Cross multiply
    150,296.42x = 207,309.31 × 96,649.31
  4. Step 4: Simplify right side
    150,296.42x = 20,036,301,768.08
  5. Step 5: Solve for x
    x = 20,036,301,768.08/150,296.42
  6. Step 6: Final answer
    x = 133,311.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.