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Finding the Fourth Proportional to 222,954.60, 307,932.88 and 146,814.08

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Solution

The fourth proportional to 222,954.60, 307,932.88 and 146,814.08 is: 202,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,954.60 : 307,932.88 = 146,814.08 : x
  2. Step 2: Convert to fraction form
    222,954.60/307,932.88 = 146,814.08/x
  3. Step 3: Cross multiply
    222,954.60x = 307,932.88 × 146,814.08
  4. Step 4: Simplify right side
    222,954.60x = 45,208,882,478.95
  5. Step 5: Solve for x
    x = 45,208,882,478.95/222,954.60
  6. Step 6: Final answer
    x = 202,771.70

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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.