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Finding the Fourth Proportional to 122,597.41, 183,891.12 and 42,653.68

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Solution

The fourth proportional to 122,597.41, 183,891.12 and 42,653.68 is: 63,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,597.41 : 183,891.12 = 42,653.68 : x
  2. Step 2: Convert to fraction form
    122,597.41/183,891.12 = 42,653.68/x
  3. Step 3: Cross multiply
    122,597.41x = 183,891.12 × 42,653.68
  4. Step 4: Simplify right side
    122,597.41x = 7,843,632,206.52
  5. Step 5: Solve for x
    x = 7,843,632,206.52/122,597.41
  6. Step 6: Final answer
    x = 63,978.78

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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.