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Finding the Fourth Proportional to 237,337.56, 327,533.76 and 135,378

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Solution

The fourth proportional to 237,337.56, 327,533.76 and 135,378 is: 186,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,337.56 : 327,533.76 = 135,378 : x
  2. Step 2: Convert to fraction form
    237,337.56/327,533.76 = 135,378/x
  3. Step 3: Cross multiply
    237,337.56x = 327,533.76 × 135,378
  4. Step 4: Simplify right side
    237,337.56x = 44,340,865,361.28
  5. Step 5: Solve for x
    x = 44,340,865,361.28/237,337.56
  6. Step 6: Final answer
    x = 186,826.16

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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.