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Finding the Fourth Proportional to 227,617.88, 341,482.20 and 75,814.58

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Solution

The fourth proportional to 227,617.88, 341,482.20 and 75,814.58 is: 113,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,617.88 : 341,482.20 = 75,814.58 : x
  2. Step 2: Convert to fraction form
    227,617.88/341,482.20 = 75,814.58/x
  3. Step 3: Cross multiply
    227,617.88x = 341,482.20 × 75,814.58
  4. Step 4: Simplify right side
    227,617.88x = 25,889,329,570.48
  5. Step 5: Solve for x
    x = 25,889,329,570.48/227,617.88
  6. Step 6: Final answer
    x = 113,740.32

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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.