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Finding the Fourth Proportional to 299,120.07, 412,785.72 and 164,984.07

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Solution

The fourth proportional to 299,120.07, 412,785.72 and 164,984.07 is: 227,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,120.07 : 412,785.72 = 164,984.07 : x
  2. Step 2: Convert to fraction form
    299,120.07/412,785.72 = 164,984.07/x
  3. Step 3: Cross multiply
    299,120.07x = 412,785.72 × 164,984.07
  4. Step 4: Simplify right side
    299,120.07x = 68,103,068,123.48
  5. Step 5: Solve for x
    x = 68,103,068,123.48/299,120.07
  6. Step 6: Final answer
    x = 227,678.03

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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.