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Finding the Fourth Proportional to 106,330.38, 146,739.24 and 61,016.66

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Solution

The fourth proportional to 106,330.38, 146,739.24 and 61,016.66 is: 84,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,330.38 : 146,739.24 = 61,016.66 : x
  2. Step 2: Convert to fraction form
    106,330.38/146,739.24 = 61,016.66/x
  3. Step 3: Cross multiply
    106,330.38x = 146,739.24 × 61,016.66
  4. Step 4: Simplify right side
    106,330.38x = 8,953,538,315.74
  5. Step 5: Solve for x
    x = 8,953,538,315.74/106,330.38
  6. Step 6: Final answer
    x = 84,204.89

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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.