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Finding the Fourth Proportional to 140,662.50, 210,993.75 and 42,166.50

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Solution

The fourth proportional to 140,662.50, 210,993.75 and 42,166.50 is: 63,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662.50 : 210,993.75 = 42,166.50 : x
  2. Step 2: Convert to fraction form
    140,662.50/210,993.75 = 42,166.50/x
  3. Step 3: Cross multiply
    140,662.50x = 210,993.75 × 42,166.50
  4. Step 4: Simplify right side
    140,662.50x = 8,896,867,959.38
  5. Step 5: Solve for x
    x = 8,896,867,959.38/140,662.50
  6. Step 6: Final answer
    x = 63,249.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.