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Finding the Fourth Proportional to 222,796.89, 333,806.54 and 185,596.02

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Solution

The fourth proportional to 222,796.89, 333,806.54 and 185,596.02 is: 278,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,796.89 : 333,806.54 = 185,596.02 : x
  2. Step 2: Convert to fraction form
    222,796.89/333,806.54 = 185,596.02/x
  3. Step 3: Cross multiply
    222,796.89x = 333,806.54 × 185,596.02
  4. Step 4: Simplify right side
    222,796.89x = 61,953,164,345.99
  5. Step 5: Solve for x
    x = 61,953,164,345.99/222,796.89
  6. Step 6: Final answer
    x = 278,070.15

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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.