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Finding the Fourth Proportional to 100,618.42, 138,853.32 and 55,299.31

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Solution

The fourth proportional to 100,618.42, 138,853.32 and 55,299.31 is: 76,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,618.42 : 138,853.32 = 55,299.31 : x
  2. Step 2: Convert to fraction form
    100,618.42/138,853.32 = 55,299.31/x
  3. Step 3: Cross multiply
    100,618.42x = 138,853.32 × 55,299.31
  4. Step 4: Simplify right side
    100,618.42x = 7,678,492,787.21
  5. Step 5: Solve for x
    x = 7,678,492,787.21/100,618.42
  6. Step 6: Final answer
    x = 76,312.99

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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.