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Finding the Fourth Proportional to 160,978.96, 241,468.44 and 55,797.94

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Solution

The fourth proportional to 160,978.96, 241,468.44 and 55,797.94 is: 83,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.96 : 241,468.44 = 55,797.94 : x
  2. Step 2: Convert to fraction form
    160,978.96/241,468.44 = 55,797.94/x
  3. Step 3: Cross multiply
    160,978.96x = 241,468.44 × 55,797.94
  4. Step 4: Simplify right side
    160,978.96x = 13,473,441,527.01
  5. Step 5: Solve for x
    x = 13,473,441,527.01/160,978.96
  6. Step 6: Final answer
    x = 83,696.91

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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.