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Finding the Fourth Proportional to 227,642.40, 341,722.80 and 134,200.80

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Solution

The fourth proportional to 227,642.40, 341,722.80 and 134,200.80 is: 201,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.40 : 341,722.80 = 134,200.80 : x
  2. Step 2: Convert to fraction form
    227,642.40/341,722.80 = 134,200.80/x
  3. Step 3: Cross multiply
    227,642.40x = 341,722.80 × 134,200.80
  4. Step 4: Simplify right side
    227,642.40x = 45,859,473,138.24
  5. Step 5: Solve for x
    x = 45,859,473,138.24/227,642.40
  6. Step 6: Final answer
    x = 201,454.00

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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.