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Finding the Fourth Proportional to 140,866.14, 211,299.21 and 85,345.50

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Solution

The fourth proportional to 140,866.14, 211,299.21 and 85,345.50 is: 128,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.14 : 211,299.21 = 85,345.50 : x
  2. Step 2: Convert to fraction form
    140,866.14/211,299.21 = 85,345.50/x
  3. Step 3: Cross multiply
    140,866.14x = 211,299.21 × 85,345.50
  4. Step 4: Simplify right side
    140,866.14x = 18,033,436,727.06
  5. Step 5: Solve for x
    x = 18,033,436,727.06/140,866.14
  6. Step 6: Final answer
    x = 128,018.25

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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.