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Finding the Fourth Proportional to 223,283.79, 334,728.86 and 82,944

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Solution

The fourth proportional to 223,283.79, 334,728.86 and 82,944 is: 124,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,283.79 : 334,728.86 = 82,944 : x
  2. Step 2: Convert to fraction form
    223,283.79/334,728.86 = 82,944/x
  3. Step 3: Cross multiply
    223,283.79x = 334,728.86 × 82,944
  4. Step 4: Simplify right side
    223,283.79x = 27,763,750,149.12
  5. Step 5: Solve for x
    x = 27,763,750,149.12/223,283.79
  6. Step 6: Final answer
    x = 124,342.88

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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.