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Finding the Fourth Proportional to 265,459, 366,333.42 and 146,227

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Solution

The fourth proportional to 265,459, 366,333.42 and 146,227 is: 201,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,459 : 366,333.42 = 146,227 : x
  2. Step 2: Convert to fraction form
    265,459/366,333.42 = 146,227/x
  3. Step 3: Cross multiply
    265,459x = 366,333.42 × 146,227
  4. Step 4: Simplify right side
    265,459x = 53,567,837,006.34
  5. Step 5: Solve for x
    x = 53,567,837,006.34/265,459
  6. Step 6: Final answer
    x = 201,793.26

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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.