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Finding the Fourth Proportional to 160,870, 222,000.78 and 93,814.96

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Solution

The fourth proportional to 160,870, 222,000.78 and 93,814.96 is: 129,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,870 : 222,000.78 = 93,814.96 : x
  2. Step 2: Convert to fraction form
    160,870/222,000.78 = 93,814.96/x
  3. Step 3: Cross multiply
    160,870x = 222,000.78 × 93,814.96
  4. Step 4: Simplify right side
    160,870x = 20,826,994,295.67
  5. Step 5: Solve for x
    x = 20,826,994,295.67/160,870
  6. Step 6: Final answer
    x = 129,464.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.