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Finding the Fourth Proportional to 146,830.58, 202,578 and 82,290.38

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Solution

The fourth proportional to 146,830.58, 202,578 and 82,290.38 is: 113,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830.58 : 202,578 = 82,290.38 : x
  2. Step 2: Convert to fraction form
    146,830.58/202,578 = 82,290.38/x
  3. Step 3: Cross multiply
    146,830.58x = 202,578 × 82,290.38
  4. Step 4: Simplify right side
    146,830.58x = 16,670,220,599.64
  5. Step 5: Solve for x
    x = 16,670,220,599.64/146,830.58
  6. Step 6: Final answer
    x = 113,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.