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Finding the Fourth Proportional to 222,533.67, 307,096.80 and 131,934

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Solution

The fourth proportional to 222,533.67, 307,096.80 and 131,934 is: 182,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,533.67 : 307,096.80 = 131,934 : x
  2. Step 2: Convert to fraction form
    222,533.67/307,096.80 = 131,934/x
  3. Step 3: Cross multiply
    222,533.67x = 307,096.80 × 131,934
  4. Step 4: Simplify right side
    222,533.67x = 40,516,509,211.20
  5. Step 5: Solve for x
    x = 40,516,509,211.20/222,533.67
  6. Step 6: Final answer
    x = 182,069.12

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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.