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Finding the Fourth Proportional to 299,966.39, 413,961.44 and 164,006.07

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Solution

The fourth proportional to 299,966.39, 413,961.44 and 164,006.07 is: 226,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,966.39 : 413,961.44 = 164,006.07 : x
  2. Step 2: Convert to fraction form
    299,966.39/413,961.44 = 164,006.07/x
  3. Step 3: Cross multiply
    299,966.39x = 413,961.44 × 164,006.07
  4. Step 4: Simplify right side
    299,966.39x = 67,892,186,533.56
  5. Step 5: Solve for x
    x = 67,892,186,533.56/299,966.39
  6. Step 6: Final answer
    x = 226,332.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.