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Finding the Fourth Proportional to 122,552.49, 183,858.30 and 42,578.82

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Solution

The fourth proportional to 122,552.49, 183,858.30 and 42,578.82 is: 63,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,552.49 : 183,858.30 = 42,578.82 : x
  2. Step 2: Convert to fraction form
    122,552.49/183,858.30 = 42,578.82/x
  3. Step 3: Cross multiply
    122,552.49x = 183,858.30 × 42,578.82
  4. Step 4: Simplify right side
    122,552.49x = 7,828,469,461.21
  5. Step 5: Solve for x
    x = 7,828,469,461.21/122,552.49
  6. Step 6: Final answer
    x = 63,878.50

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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.