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Finding the Fourth Proportional to 100,130.66, 138,180.20 and 54,808.23

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Solution

The fourth proportional to 100,130.66, 138,180.20 and 54,808.23 is: 75,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,130.66 : 138,180.20 = 54,808.23 : x
  2. Step 2: Convert to fraction form
    100,130.66/138,180.20 = 54,808.23/x
  3. Step 3: Cross multiply
    100,130.66x = 138,180.20 × 54,808.23
  4. Step 4: Simplify right side
    100,130.66x = 7,573,412,695.31
  5. Step 5: Solve for x
    x = 7,573,412,695.31/100,130.66
  6. Step 6: Final answer
    x = 75,635.30

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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.