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Finding the Fourth Proportional to 222,950.96, 307,927.86 and 146,810.42

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Solution

The fourth proportional to 222,950.96, 307,927.86 and 146,810.42 is: 202,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,950.96 : 307,927.86 = 146,810.42 : x
  2. Step 2: Convert to fraction form
    222,950.96/307,927.86 = 146,810.42/x
  3. Step 3: Cross multiply
    222,950.96x = 307,927.86 × 146,810.42
  4. Step 4: Simplify right side
    222,950.96x = 45,207,018,456.30
  5. Step 5: Solve for x
    x = 45,207,018,456.30/222,950.96
  6. Step 6: Final answer
    x = 202,766.65

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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.