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Finding the Fourth Proportional to 308,267.37, 462,359.34 and 83,642.22

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Solution

The fourth proportional to 308,267.37, 462,359.34 and 83,642.22 is: 125,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,267.37 : 462,359.34 = 83,642.22 : x
  2. Step 2: Convert to fraction form
    308,267.37/462,359.34 = 83,642.22/x
  3. Step 3: Cross multiply
    308,267.37x = 462,359.34 × 83,642.22
  4. Step 4: Simplify right side
    308,267.37x = 38,672,761,635.33
  5. Step 5: Solve for x
    x = 38,672,761,635.33/308,267.37
  6. Step 6: Final answer
    x = 125,452.01

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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.