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Finding the Fourth Proportional to 185,808.16, 256,415.34 and 100,927

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Solution

The fourth proportional to 185,808.16, 256,415.34 and 100,927 is: 139,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,808.16 : 256,415.34 = 100,927 : x
  2. Step 2: Convert to fraction form
    185,808.16/256,415.34 = 100,927/x
  3. Step 3: Cross multiply
    185,808.16x = 256,415.34 × 100,927
  4. Step 4: Simplify right side
    185,808.16x = 25,879,231,020.18
  5. Step 5: Solve for x
    x = 25,879,231,020.18/185,808.16
  6. Step 6: Final answer
    x = 139,279.30

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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.