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Finding the Fourth Proportional to 265,876.50, 366,909.60 and 146,644.50

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Solution

The fourth proportional to 265,876.50, 366,909.60 and 146,644.50 is: 202,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,876.50 : 366,909.60 = 146,644.50 : x
  2. Step 2: Convert to fraction form
    265,876.50/366,909.60 = 146,644.50/x
  3. Step 3: Cross multiply
    265,876.50x = 366,909.60 × 146,644.50
  4. Step 4: Simplify right side
    265,876.50x = 53,805,274,837.20
  5. Step 5: Solve for x
    x = 53,805,274,837.20/265,876.50
  6. Step 6: Final answer
    x = 202,369.43

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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.