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Finding the Fourth Proportional to 106,480.98, 146,948.04 and 61,171.74

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Solution

The fourth proportional to 106,480.98, 146,948.04 and 61,171.74 is: 84,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480.98 : 146,948.04 = 61,171.74 : x
  2. Step 2: Convert to fraction form
    106,480.98/146,948.04 = 61,171.74/x
  3. Step 3: Cross multiply
    106,480.98x = 146,948.04 × 61,171.74
  4. Step 4: Simplify right side
    106,480.98x = 8,989,067,296.39
  5. Step 5: Solve for x
    x = 8,989,067,296.39/106,480.98
  6. Step 6: Final answer
    x = 84,419.46

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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.