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Finding the Fourth Proportional to 265,809, 366,816.42 and 146,577

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Solution

The fourth proportional to 265,809, 366,816.42 and 146,577 is: 202,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,809 : 366,816.42 = 146,577 : x
  2. Step 2: Convert to fraction form
    265,809/366,816.42 = 146,577/x
  3. Step 3: Cross multiply
    265,809x = 366,816.42 × 146,577
  4. Step 4: Simplify right side
    265,809x = 53,766,850,394.34
  5. Step 5: Solve for x
    x = 53,766,850,394.34/265,809
  6. Step 6: Final answer
    x = 202,276.26

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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.