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Finding the Fourth Proportional to 140,295.92, 210,443.85 and 51,511.01

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Solution

The fourth proportional to 140,295.92, 210,443.85 and 51,511.01 is: 77,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,295.92 : 210,443.85 = 51,511.01 : x
  2. Step 2: Convert to fraction form
    140,295.92/210,443.85 = 51,511.01/x
  3. Step 3: Cross multiply
    140,295.92x = 210,443.85 × 51,511.01
  4. Step 4: Simplify right side
    140,295.92x = 10,840,174,209.57
  5. Step 5: Solve for x
    x = 10,840,174,209.57/140,295.92
  6. Step 6: Final answer
    x = 77,266.50

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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.