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Finding the Fourth Proportional to 240,138.56, 360,207.84 and 92,360

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Solution

The fourth proportional to 240,138.56, 360,207.84 and 92,360 is: 138,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,138.56 : 360,207.84 = 92,360 : x
  2. Step 2: Convert to fraction form
    240,138.56/360,207.84 = 92,360/x
  3. Step 3: Cross multiply
    240,138.56x = 360,207.84 × 92,360
  4. Step 4: Simplify right side
    240,138.56x = 33,268,796,102.40
  5. Step 5: Solve for x
    x = 33,268,796,102.40/240,138.56
  6. Step 6: Final answer
    x = 138,540

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.