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Finding the Fourth Proportional to 222,953.69, 307,931.60 and 146,813.15

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Solution

The fourth proportional to 222,953.69, 307,931.60 and 146,813.15 is: 202,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,953.69 : 307,931.60 = 146,813.15 : x
  2. Step 2: Convert to fraction form
    222,953.69/307,931.60 = 146,813.15/x
  3. Step 3: Cross multiply
    222,953.69x = 307,931.60 × 146,813.15
  4. Step 4: Simplify right side
    222,953.69x = 45,208,405,906.82
  5. Step 5: Solve for x
    x = 45,208,405,906.82/222,953.69
  6. Step 6: Final answer
    x = 202,770.39

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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.