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Finding the Fourth Proportional to 265,644.47, 366,589.51 and 150,923.31

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Solution

The fourth proportional to 265,644.47, 366,589.51 and 150,923.31 is: 208,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,644.47 : 366,589.51 = 150,923.31 : x
  2. Step 2: Convert to fraction form
    265,644.47/366,589.51 = 150,923.31/x
  3. Step 3: Cross multiply
    265,644.47x = 366,589.51 × 150,923.31
  4. Step 4: Simplify right side
    265,644.47x = 55,326,902,570.53
  5. Step 5: Solve for x
    x = 55,326,902,570.53/265,644.47
  6. Step 6: Final answer
    x = 208,274.25

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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.