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Finding the Fourth Proportional to 237,672.40, 327,977.16 and 137,064.40

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Solution

The fourth proportional to 237,672.40, 327,977.16 and 137,064.40 is: 189,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,672.40 : 327,977.16 = 137,064.40 : x
  2. Step 2: Convert to fraction form
    237,672.40/327,977.16 = 137,064.40/x
  3. Step 3: Cross multiply
    237,672.40x = 327,977.16 × 137,064.40
  4. Step 4: Simplify right side
    237,672.40x = 44,953,992,649.10
  5. Step 5: Solve for x
    x = 44,953,992,649.10/237,672.40
  6. Step 6: Final answer
    x = 189,142.67

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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.