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Finding the Fourth Proportional to 185,812.38, 256,415.22 and 105,247.35

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Solution

The fourth proportional to 185,812.38, 256,415.22 and 105,247.35 is: 145,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,812.38 : 256,415.22 = 105,247.35 : x
  2. Step 2: Convert to fraction form
    185,812.38/256,415.22 = 105,247.35/x
  3. Step 3: Cross multiply
    185,812.38x = 256,415.22 × 105,247.35
  4. Step 4: Simplify right side
    185,812.38x = 26,987,022,404.67
  5. Step 5: Solve for x
    x = 26,987,022,404.67/185,812.38
  6. Step 6: Final answer
    x = 145,238.02

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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.