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Finding the Fourth Proportional to 140,889.36, 194,433.84 and 77,232

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Solution

The fourth proportional to 140,889.36, 194,433.84 and 77,232 is: 106,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,889.36 : 194,433.84 = 77,232 : x
  2. Step 2: Convert to fraction form
    140,889.36/194,433.84 = 77,232/x
  3. Step 3: Cross multiply
    140,889.36x = 194,433.84 × 77,232
  4. Step 4: Simplify right side
    140,889.36x = 15,016,514,330.88
  5. Step 5: Solve for x
    x = 15,016,514,330.88/140,889.36
  6. Step 6: Final answer
    x = 106,583.74

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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.