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Finding the Fourth Proportional to 227,657.80, 341,256.30 and 134,115.40

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Solution

The fourth proportional to 227,657.80, 341,256.30 and 134,115.40 is: 201,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,657.80 : 341,256.30 = 134,115.40 : x
  2. Step 2: Convert to fraction form
    227,657.80/341,256.30 = 134,115.40/x
  3. Step 3: Cross multiply
    227,657.80x = 341,256.30 × 134,115.40
  4. Step 4: Simplify right side
    227,657.80x = 45,767,725,177.02
  5. Step 5: Solve for x
    x = 45,767,725,177.02/227,657.80
  6. Step 6: Final answer
    x = 201,037.37

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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.