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Finding the Fourth Proportional to 106,393.38, 146,781.66 and 61,054.98

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Solution

The fourth proportional to 106,393.38, 146,781.66 and 61,054.98 is: 84,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.38 : 146,781.66 = 61,054.98 : x
  2. Step 2: Convert to fraction form
    106,393.38/146,781.66 = 61,054.98/x
  3. Step 3: Cross multiply
    106,393.38x = 146,781.66 × 61,054.98
  4. Step 4: Simplify right side
    106,393.38x = 8,961,751,315.67
  5. Step 5: Solve for x
    x = 8,961,751,315.67/106,393.38
  6. Step 6: Final answer
    x = 84,232.23

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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.