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Finding the Fourth Proportional to 193,222, 266,555.64 and 136,664.56

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Solution

The fourth proportional to 193,222, 266,555.64 and 136,664.56 is: 188,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,222 : 266,555.64 = 136,664.56 : x
  2. Step 2: Convert to fraction form
    193,222/266,555.64 = 136,664.56/x
  3. Step 3: Cross multiply
    193,222x = 266,555.64 × 136,664.56
  4. Step 4: Simplify right side
    193,222x = 36,428,709,256.12
  5. Step 5: Solve for x
    x = 36,428,709,256.12/193,222
  6. Step 6: Final answer
    x = 188,532.93

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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.