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Finding the Fourth Proportional to 265,413, 366,269.94 and 146,181

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Solution

The fourth proportional to 265,413, 366,269.94 and 146,181 is: 201,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,413 : 366,269.94 = 146,181 : x
  2. Step 2: Convert to fraction form
    265,413/366,269.94 = 146,181/x
  3. Step 3: Cross multiply
    265,413x = 366,269.94 × 146,181
  4. Step 4: Simplify right side
    265,413x = 53,541,706,099.14
  5. Step 5: Solve for x
    x = 53,541,706,099.14/265,413
  6. Step 6: Final answer
    x = 201,729.78

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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.