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Finding the Fourth Proportional to 142,504.92, 213,740.98 and 37,332.09

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Solution

The fourth proportional to 142,504.92, 213,740.98 and 37,332.09 is: 55,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,504.92 : 213,740.98 = 37,332.09 : x
  2. Step 2: Convert to fraction form
    142,504.92/213,740.98 = 37,332.09/x
  3. Step 3: Cross multiply
    142,504.92x = 213,740.98 × 37,332.09
  4. Step 4: Simplify right side
    142,504.92x = 7,979,397,408.72
  5. Step 5: Solve for x
    x = 7,979,397,408.72/142,504.92
  6. Step 6: Final answer
    x = 55,993.84

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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.