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Finding the Fourth Proportional to 224,986.09, 310,481.37 and 123,018.14

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Solution

The fourth proportional to 224,986.09, 310,481.37 and 123,018.14 is: 169,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,986.09 : 310,481.37 = 123,018.14 : x
  2. Step 2: Convert to fraction form
    224,986.09/310,481.37 = 123,018.14/x
  3. Step 3: Cross multiply
    224,986.09x = 310,481.37 × 123,018.14
  4. Step 4: Simplify right side
    224,986.09x = 38,194,840,642.05
  5. Step 5: Solve for x
    x = 38,194,840,642.05/224,986.09
  6. Step 6: Final answer
    x = 169,765.34

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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.