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Finding the Fourth Proportional to 185,738.23, 256,319.81 and 100,855.32

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Solution

The fourth proportional to 185,738.23, 256,319.81 and 100,855.32 is: 139,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,738.23 : 256,319.81 = 100,855.32 : x
  2. Step 2: Convert to fraction form
    185,738.23/256,319.81 = 100,855.32/x
  3. Step 3: Cross multiply
    185,738.23x = 256,319.81 × 100,855.32
  4. Step 4: Simplify right side
    185,738.23x = 25,851,216,459.89
  5. Step 5: Solve for x
    x = 25,851,216,459.89/185,738.23
  6. Step 6: Final answer
    x = 139,180.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.