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Finding the Fourth Proportional to 222,602.74, 333,942.99 and 97,940.50

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Solution

The fourth proportional to 222,602.74, 333,942.99 and 97,940.50 is: 146,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,602.74 : 333,942.99 = 97,940.50 : x
  2. Step 2: Convert to fraction form
    222,602.74/333,942.99 = 97,940.50/x
  3. Step 3: Cross multiply
    222,602.74x = 333,942.99 × 97,940.50
  4. Step 4: Simplify right side
    222,602.74x = 32,706,543,412.10
  5. Step 5: Solve for x
    x = 32,706,543,412.10/222,602.74
  6. Step 6: Final answer
    x = 146,927.86

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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.