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Finding the Fourth Proportional to 160,978.93, 241,468.19 and 61,138.94

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Solution

The fourth proportional to 160,978.93, 241,468.19 and 61,138.94 is: 91,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.93 : 241,468.19 = 61,138.94 : x
  2. Step 2: Convert to fraction form
    160,978.93/241,468.19 = 61,138.94/x
  3. Step 3: Cross multiply
    160,978.93x = 241,468.19 × 61,138.94
  4. Step 4: Simplify right side
    160,978.93x = 14,763,107,896.55
  5. Step 5: Solve for x
    x = 14,763,107,896.55/160,978.93
  6. Step 6: Final answer
    x = 91,708.33

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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.