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Finding the Fourth Proportional to 102,556.11, 141,509.39 and 57,230.54

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Solution

The fourth proportional to 102,556.11, 141,509.39 and 57,230.54 is: 78,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,556.11 : 141,509.39 = 57,230.54 : x
  2. Step 2: Convert to fraction form
    102,556.11/141,509.39 = 57,230.54/x
  3. Step 3: Cross multiply
    102,556.11x = 141,509.39 × 57,230.54
  4. Step 4: Simplify right side
    102,556.11x = 8,098,658,804.77
  5. Step 5: Solve for x
    x = 8,098,658,804.77/102,556.11
  6. Step 6: Final answer
    x = 78,968.08

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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.