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Finding the Fourth Proportional to 160,927, 241,429.50 and 50,119

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Solution

The fourth proportional to 160,927, 241,429.50 and 50,119 is: 75,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,927 : 241,429.50 = 50,119 : x
  2. Step 2: Convert to fraction form
    160,927/241,429.50 = 50,119/x
  3. Step 3: Cross multiply
    160,927x = 241,429.50 × 50,119
  4. Step 4: Simplify right side
    160,927x = 12,100,205,110.50
  5. Step 5: Solve for x
    x = 12,100,205,110.50/160,927
  6. Step 6: Final answer
    x = 75,190.65

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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.