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Finding the Fourth Proportional to 102,090.68, 153,123.84 and 27,216.44

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Solution

The fourth proportional to 102,090.68, 153,123.84 and 27,216.44 is: 40,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090.68 : 153,123.84 = 27,216.44 : x
  2. Step 2: Convert to fraction form
    102,090.68/153,123.84 = 27,216.44/x
  3. Step 3: Cross multiply
    102,090.68x = 153,123.84 × 27,216.44
  4. Step 4: Simplify right side
    102,090.68x = 4,167,485,803.93
  5. Step 5: Solve for x
    x = 4,167,485,803.93/102,090.68
  6. Step 6: Final answer
    x = 40,821.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.