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Finding the Fourth Proportional to 292,725.75, 403,961.55 and 158,589.75

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Solution

The fourth proportional to 292,725.75, 403,961.55 and 158,589.75 is: 218,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,725.75 : 403,961.55 = 158,589.75 : x
  2. Step 2: Convert to fraction form
    292,725.75/403,961.55 = 158,589.75/x
  3. Step 3: Cross multiply
    292,725.75x = 403,961.55 × 158,589.75
  4. Step 4: Simplify right side
    292,725.75x = 64,064,161,224.11
  5. Step 5: Solve for x
    x = 64,064,161,224.11/292,725.75
  6. Step 6: Final answer
    x = 218,853.86

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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.