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Finding the Fourth Proportional to 160,610.94, 241,137.09 and 81,778.14

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Solution

The fourth proportional to 160,610.94, 241,137.09 and 81,778.14 is: 122,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,610.94 : 241,137.09 = 81,778.14 : x
  2. Step 2: Convert to fraction form
    160,610.94/241,137.09 = 81,778.14/x
  3. Step 3: Cross multiply
    160,610.94x = 241,137.09 × 81,778.14
  4. Step 4: Simplify right side
    160,610.94x = 19,719,742,705.21
  5. Step 5: Solve for x
    x = 19,719,742,705.21/160,610.94
  6. Step 6: Final answer
    x = 122,779.57

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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.