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Finding the Fourth Proportional to 227,978.20, 341,934.90 and 70,222.60

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Solution

The fourth proportional to 227,978.20, 341,934.90 and 70,222.60 is: 105,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.20 : 341,934.90 = 70,222.60 : x
  2. Step 2: Convert to fraction form
    227,978.20/341,934.90 = 70,222.60/x
  3. Step 3: Cross multiply
    227,978.20x = 341,934.90 × 70,222.60
  4. Step 4: Simplify right side
    227,978.20x = 24,011,557,708.74
  5. Step 5: Solve for x
    x = 24,011,557,708.74/227,978.20
  6. Step 6: Final answer
    x = 105,323.92

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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.