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Finding the Fourth Proportional to 102,090.20, 140,886.92 and 56,770.10

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Solution

The fourth proportional to 102,090.20, 140,886.92 and 56,770.10 is: 78,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090.20 : 140,886.92 = 56,770.10 : x
  2. Step 2: Convert to fraction form
    102,090.20/140,886.92 = 56,770.10/x
  3. Step 3: Cross multiply
    102,090.20x = 140,886.92 × 56,770.10
  4. Step 4: Simplify right side
    102,090.20x = 7,998,163,548.81
  5. Step 5: Solve for x
    x = 7,998,163,548.81/102,090.20
  6. Step 6: Final answer
    x = 78,344.09

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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.