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Finding the Fourth Proportional to 143,078.36, 214,621.61 and 37,897.34

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Solution

The fourth proportional to 143,078.36, 214,621.61 and 37,897.34 is: 56,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,078.36 : 214,621.61 = 37,897.34 : x
  2. Step 2: Convert to fraction form
    143,078.36/214,621.61 = 37,897.34/x
  3. Step 3: Cross multiply
    143,078.36x = 214,621.61 × 37,897.34
  4. Step 4: Simplify right side
    143,078.36x = 8,133,586,862.92
  5. Step 5: Solve for x
    x = 8,133,586,862.92/143,078.36
  6. Step 6: Final answer
    x = 56,847.08

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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.