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Finding the Fourth Proportional to 216,193, 298,322.04 and 125,537.80

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Solution

The fourth proportional to 216,193, 298,322.04 and 125,537.80 is: 173,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,193 : 298,322.04 = 125,537.80 : x
  2. Step 2: Convert to fraction form
    216,193/298,322.04 = 125,537.80/x
  3. Step 3: Cross multiply
    216,193x = 298,322.04 × 125,537.80
  4. Step 4: Simplify right side
    216,193x = 37,450,692,593.11
  5. Step 5: Solve for x
    x = 37,450,692,593.11/216,193
  6. Step 6: Final answer
    x = 173,228.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.