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Finding the Fourth Proportional to 160,898.70, 222,041.73 and 89,285.38

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Solution

The fourth proportional to 160,898.70, 222,041.73 and 89,285.38 is: 123,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,898.70 : 222,041.73 = 89,285.38 : x
  2. Step 2: Convert to fraction form
    160,898.70/222,041.73 = 89,285.38/x
  3. Step 3: Cross multiply
    160,898.70x = 222,041.73 × 89,285.38
  4. Step 4: Simplify right side
    160,898.70x = 19,825,080,238.91
  5. Step 5: Solve for x
    x = 19,825,080,238.91/160,898.70
  6. Step 6: Final answer
    x = 123,214.67

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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.