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Finding the Fourth Proportional to 241,266.96, 333,120.96 and 160,884

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Solution

The fourth proportional to 241,266.96, 333,120.96 and 160,884 is: 222,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,266.96 : 333,120.96 = 160,884 : x
  2. Step 2: Convert to fraction form
    241,266.96/333,120.96 = 160,884/x
  3. Step 3: Cross multiply
    241,266.96x = 333,120.96 × 160,884
  4. Step 4: Simplify right side
    241,266.96x = 53,593,832,528.64
  5. Step 5: Solve for x
    x = 53,593,832,528.64/241,266.96
  6. Step 6: Final answer
    x = 222,134.98

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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.