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Finding the Fourth Proportional to 102,662.42, 154,090.48 and 52,777.50

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Solution

The fourth proportional to 102,662.42, 154,090.48 and 52,777.50 is: 79,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.42 : 154,090.48 = 52,777.50 : x
  2. Step 2: Convert to fraction form
    102,662.42/154,090.48 = 52,777.50/x
  3. Step 3: Cross multiply
    102,662.42x = 154,090.48 × 52,777.50
  4. Step 4: Simplify right side
    102,662.42x = 8,132,510,308.20
  5. Step 5: Solve for x
    x = 8,132,510,308.20/102,662.42
  6. Step 6: Final answer
    x = 79,216.04

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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.