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Finding the Fourth Proportional to 293,742.28, 405,366.42 and 159,606.28

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Solution

The fourth proportional to 293,742.28, 405,366.42 and 159,606.28 is: 220,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,742.28 : 405,366.42 = 159,606.28 : x
  2. Step 2: Convert to fraction form
    293,742.28/405,366.42 = 159,606.28/x
  3. Step 3: Cross multiply
    293,742.28x = 405,366.42 × 159,606.28
  4. Step 4: Simplify right side
    293,742.28x = 64,699,026,333.12
  5. Step 5: Solve for x
    x = 64,699,026,333.12/293,742.28
  6. Step 6: Final answer
    x = 220,257.79

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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.