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Finding the Fourth Proportional to 150,268.50, 207,370.53 and 83,204.82

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Solution

The fourth proportional to 150,268.50, 207,370.53 and 83,204.82 is: 114,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,268.50 : 207,370.53 = 83,204.82 : x
  2. Step 2: Convert to fraction form
    150,268.50/207,370.53 = 83,204.82/x
  3. Step 3: Cross multiply
    150,268.50x = 207,370.53 × 83,204.82
  4. Step 4: Simplify right side
    150,268.50x = 17,254,227,621.95
  5. Step 5: Solve for x
    x = 17,254,227,621.95/150,268.50
  6. Step 6: Final answer
    x = 114,822.65

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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.