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Finding the Fourth Proportional to 140,311.30, 210,321.15 and 77,034.10

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Solution

The fourth proportional to 140,311.30, 210,321.15 and 77,034.10 is: 115,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,311.30 : 210,321.15 = 77,034.10 : x
  2. Step 2: Convert to fraction form
    140,311.30/210,321.15 = 77,034.10/x
  3. Step 3: Cross multiply
    140,311.30x = 210,321.15 × 77,034.10
  4. Step 4: Simplify right side
    140,311.30x = 16,201,900,501.22
  5. Step 5: Solve for x
    x = 16,201,900,501.22/140,311.30
  6. Step 6: Final answer
    x = 115,471.10

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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.