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Finding the Fourth Proportional to 160,789.27, 241,106 and 48,448.54

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Solution

The fourth proportional to 160,789.27, 241,106 and 48,448.54 is: 72,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,789.27 : 241,106 = 48,448.54 : x
  2. Step 2: Convert to fraction form
    160,789.27/241,106 = 48,448.54/x
  3. Step 3: Cross multiply
    160,789.27x = 241,106 × 48,448.54
  4. Step 4: Simplify right side
    160,789.27x = 11,681,233,685.24
  5. Step 5: Solve for x
    x = 11,681,233,685.24/160,789.27
  6. Step 6: Final answer
    x = 72,649.34

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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.