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Finding the Fourth Proportional to 223,057.28, 334,638.58 and 73,298

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Solution

The fourth proportional to 223,057.28, 334,638.58 and 73,298 is: 109,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,057.28 : 334,638.58 = 73,298 : x
  2. Step 2: Convert to fraction form
    223,057.28/334,638.58 = 73,298/x
  3. Step 3: Cross multiply
    223,057.28x = 334,638.58 × 73,298
  4. Step 4: Simplify right side
    223,057.28x = 24,528,338,636.84
  5. Step 5: Solve for x
    x = 24,528,338,636.84/223,057.28
  6. Step 6: Final answer
    x = 109,964.30

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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.