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Finding the Fourth Proportional to 237,797.44, 328,157.76 and 137,193.28

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Solution

The fourth proportional to 237,797.44, 328,157.76 and 137,193.28 is: 189,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,797.44 : 328,157.76 = 137,193.28 : x
  2. Step 2: Convert to fraction form
    237,797.44/328,157.76 = 137,193.28/x
  3. Step 3: Cross multiply
    237,797.44x = 328,157.76 × 137,193.28
  4. Step 4: Simplify right side
    237,797.44x = 45,021,039,451.85
  5. Step 5: Solve for x
    x = 45,021,039,451.85/237,797.44
  6. Step 6: Final answer
    x = 189,325.16

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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.