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Finding the Fourth Proportional to 106,485.84, 146,949.48 and 58,090.32

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Solution

The fourth proportional to 106,485.84, 146,949.48 and 58,090.32 is: 80,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,485.84 : 146,949.48 = 58,090.32 : x
  2. Step 2: Convert to fraction form
    106,485.84/146,949.48 = 58,090.32/x
  3. Step 3: Cross multiply
    106,485.84x = 146,949.48 × 58,090.32
  4. Step 4: Simplify right side
    106,485.84x = 8,536,342,317.03
  5. Step 5: Solve for x
    x = 8,536,342,317.03/106,485.84
  6. Step 6: Final answer
    x = 80,164.11

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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.