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Finding the Fourth Proportional to 178,049.33, 245,724.77 and 106,427.81

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Solution

The fourth proportional to 178,049.33, 245,724.77 and 106,427.81 is: 146,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,049.33 : 245,724.77 = 106,427.81 : x
  2. Step 2: Convert to fraction form
    178,049.33/245,724.77 = 106,427.81/x
  3. Step 3: Cross multiply
    178,049.33x = 245,724.77 × 106,427.81
  4. Step 4: Simplify right side
    178,049.33x = 26,151,949,133.85
  5. Step 5: Solve for x
    x = 26,151,949,133.85/178,049.33
  6. Step 6: Final answer
    x = 146,880.36

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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.