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Finding the Fourth Proportional to 160,978.40, 241,626.52 and 120,857.84

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Solution

The fourth proportional to 160,978.40, 241,626.52 and 120,857.84 is: 181,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.40 : 241,626.52 = 120,857.84 : x
  2. Step 2: Convert to fraction form
    160,978.40/241,626.52 = 120,857.84/x
  3. Step 3: Cross multiply
    160,978.40x = 241,626.52 × 120,857.84
  4. Step 4: Simplify right side
    160,978.40x = 29,202,459,293.92
  5. Step 5: Solve for x
    x = 29,202,459,293.92/160,978.40
  6. Step 6: Final answer
    x = 181,406.07

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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.