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Finding the Fourth Proportional to 222,601.74, 333,941.49 and 97,939.50

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Solution

The fourth proportional to 222,601.74, 333,941.49 and 97,939.50 is: 146,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,601.74 : 333,941.49 = 97,939.50 : x
  2. Step 2: Convert to fraction form
    222,601.74/333,941.49 = 97,939.50/x
  3. Step 3: Cross multiply
    222,601.74x = 333,941.49 × 97,939.50
  4. Step 4: Simplify right side
    222,601.74x = 32,706,062,559.86
  5. Step 5: Solve for x
    x = 32,706,062,559.86/222,601.74
  6. Step 6: Final answer
    x = 146,926.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.