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Finding the Fourth Proportional to 106,368.60, 146,794.42 and 61,046.20

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Solution

The fourth proportional to 106,368.60, 146,794.42 and 61,046.20 is: 84,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368.60 : 146,794.42 = 61,046.20 : x
  2. Step 2: Convert to fraction form
    106,368.60/146,794.42 = 61,046.20/x
  3. Step 3: Cross multiply
    106,368.60x = 146,794.42 × 61,046.20
  4. Step 4: Simplify right side
    106,368.60x = 8,961,241,522.20
  5. Step 5: Solve for x
    x = 8,961,241,522.20/106,368.60
  6. Step 6: Final answer
    x = 84,247.06

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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.