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Finding the Fourth Proportional to 223,952.32, 309,054.19 and 123,350.32

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Solution

The fourth proportional to 223,952.32, 309,054.19 and 123,350.32 is: 170,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,952.32 : 309,054.19 = 123,350.32 : x
  2. Step 2: Convert to fraction form
    223,952.32/309,054.19 = 123,350.32/x
  3. Step 3: Cross multiply
    223,952.32x = 309,054.19 × 123,350.32
  4. Step 4: Simplify right side
    223,952.32x = 38,121,933,233.84
  5. Step 5: Solve for x
    x = 38,121,933,233.84/223,952.32
  6. Step 6: Final answer
    x = 170,223.44

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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.