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Finding the Fourth Proportional to 106,480.36, 146,866.98 and 74,656.36

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Solution

The fourth proportional to 106,480.36, 146,866.98 and 74,656.36 is: 102,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480.36 : 146,866.98 = 74,656.36 : x
  2. Step 2: Convert to fraction form
    106,480.36/146,866.98 = 74,656.36/x
  3. Step 3: Cross multiply
    106,480.36x = 146,866.98 × 74,656.36
  4. Step 4: Simplify right side
    106,480.36x = 10,964,554,130.99
  5. Step 5: Solve for x
    x = 10,964,554,130.99/106,480.36
  6. Step 6: Final answer
    x = 102,972.55

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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.