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Finding the Fourth Proportional to 299,109, 412,779.06 and 164,981.64

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Solution

The fourth proportional to 299,109, 412,779.06 and 164,981.64 is: 227,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109 : 412,779.06 = 164,981.64 : x
  2. Step 2: Convert to fraction form
    299,109/412,779.06 = 164,981.64/x
  3. Step 3: Cross multiply
    299,109x = 412,779.06 × 164,981.64
  4. Step 4: Simplify right side
    299,109x = 68,100,966,276.46
  5. Step 5: Solve for x
    x = 68,100,966,276.46/299,109
  6. Step 6: Final answer
    x = 227,679.43

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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.