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Finding the Fourth Proportional to 106,349.74, 146,766 and 61,036

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Solution

The fourth proportional to 106,349.74, 146,766 and 61,036 is: 84,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,349.74 : 146,766 = 61,036 : x
  2. Step 2: Convert to fraction form
    106,349.74/146,766 = 61,036/x
  3. Step 3: Cross multiply
    106,349.74x = 146,766 × 61,036
  4. Step 4: Simplify right side
    106,349.74x = 8,958,009,576
  5. Step 5: Solve for x
    x = 8,958,009,576/106,349.74
  6. Step 6: Final answer
    x = 84,231.61

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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.