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Finding the Fourth Proportional to 178,219.41, 245,942.73 and 106,616.25

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Solution

The fourth proportional to 178,219.41, 245,942.73 and 106,616.25 is: 147,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,219.41 : 245,942.73 = 106,616.25 : x
  2. Step 2: Convert to fraction form
    178,219.41/245,942.73 = 106,616.25/x
  3. Step 3: Cross multiply
    178,219.41x = 245,942.73 × 106,616.25
  4. Step 4: Simplify right side
    178,219.41x = 26,221,491,587.36
  5. Step 5: Solve for x
    x = 26,221,491,587.36/178,219.41
  6. Step 6: Final answer
    x = 147,130.39

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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.