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Finding the Fourth Proportional to 222,894.72, 307,437.21 and 132,177.96

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Solution

The fourth proportional to 222,894.72, 307,437.21 and 132,177.96 is: 182,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,894.72 : 307,437.21 = 132,177.96 : x
  2. Step 2: Convert to fraction form
    222,894.72/307,437.21 = 132,177.96/x
  3. Step 3: Cross multiply
    222,894.72x = 307,437.21 × 132,177.96
  4. Step 4: Simplify right side
    222,894.72x = 40,636,423,245.89
  5. Step 5: Solve for x
    x = 40,636,423,245.89/222,894.72
  6. Step 6: Final answer
    x = 182,312.18

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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.