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Finding the Fourth Proportional to 223,919.64, 308,995.08 and 123,317.64

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Solution

The fourth proportional to 223,919.64, 308,995.08 and 123,317.64 is: 170,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,919.64 : 308,995.08 = 123,317.64 : x
  2. Step 2: Convert to fraction form
    223,919.64/308,995.08 = 123,317.64/x
  3. Step 3: Cross multiply
    223,919.64x = 308,995.08 × 123,317.64
  4. Step 4: Simplify right side
    223,919.64x = 38,104,544,037.21
  5. Step 5: Solve for x
    x = 38,104,544,037.21/223,919.64
  6. Step 6: Final answer
    x = 170,170.62

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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.