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Finding the Fourth Proportional to 106,114, 146,427.72 and 58,369.36

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Solution

The fourth proportional to 106,114, 146,427.72 and 58,369.36 is: 80,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114 : 146,427.72 = 58,369.36 : x
  2. Step 2: Convert to fraction form
    106,114/146,427.72 = 58,369.36/x
  3. Step 3: Cross multiply
    106,114x = 146,427.72 × 58,369.36
  4. Step 4: Simplify right side
    106,114x = 8,546,892,302.66
  5. Step 5: Solve for x
    x = 8,546,892,302.66/106,114
  6. Step 6: Final answer
    x = 80,544.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.