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Finding the Fourth Proportional to 223,976.25, 309,087.23 and 123,374.25

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Solution

The fourth proportional to 223,976.25, 309,087.23 and 123,374.25 is: 170,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,976.25 : 309,087.23 = 123,374.25 : x
  2. Step 2: Convert to fraction form
    223,976.25/309,087.23 = 123,374.25/x
  3. Step 3: Cross multiply
    223,976.25x = 309,087.23 × 123,374.25
  4. Step 4: Simplify right side
    223,976.25x = 38,133,404,568.96
  5. Step 5: Solve for x
    x = 38,133,404,568.96/223,976.25
  6. Step 6: Final answer
    x = 170,256.47

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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.