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Finding the Fourth Proportional to 102,145.37, 140,965.16 and 85,121.12

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Solution

The fourth proportional to 102,145.37, 140,965.16 and 85,121.12 is: 117,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,145.37 : 140,965.16 = 85,121.12 : x
  2. Step 2: Convert to fraction form
    102,145.37/140,965.16 = 85,121.12/x
  3. Step 3: Cross multiply
    102,145.37x = 140,965.16 × 85,121.12
  4. Step 4: Simplify right side
    102,145.37x = 11,999,111,808.16
  5. Step 5: Solve for x
    x = 11,999,111,808.16/102,145.37
  6. Step 6: Final answer
    x = 117,470.93

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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.