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Finding the Fourth Proportional to 222,967.80, 334,502.80 and 96,629.24

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Solution

The fourth proportional to 222,967.80, 334,502.80 and 96,629.24 is: 144,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,967.80 : 334,502.80 = 96,629.24 : x
  2. Step 2: Convert to fraction form
    222,967.80/334,502.80 = 96,629.24/x
  3. Step 3: Cross multiply
    222,967.80x = 334,502.80 × 96,629.24
  4. Step 4: Simplify right side
    222,967.80x = 32,322,751,341.87
  5. Step 5: Solve for x
    x = 32,322,751,341.87/222,967.80
  6. Step 6: Final answer
    x = 144,966.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.