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Finding the Fourth Proportional to 185,762.25, 256,349.64 and 100,879.92

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Solution

The fourth proportional to 185,762.25, 256,349.64 and 100,879.92 is: 139,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,762.25 : 256,349.64 = 100,879.92 : x
  2. Step 2: Convert to fraction form
    185,762.25/256,349.64 = 100,879.92/x
  3. Step 3: Cross multiply
    185,762.25x = 256,349.64 × 100,879.92
  4. Step 4: Simplify right side
    185,762.25x = 25,860,531,175.23
  5. Step 5: Solve for x
    x = 25,860,531,175.23/185,762.25
  6. Step 6: Final answer
    x = 139,213.06

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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.