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Finding the Fourth Proportional to 106,014.44, 146,298.84 and 58,266.80

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Solution

The fourth proportional to 106,014.44, 146,298.84 and 58,266.80 is: 80,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014.44 : 146,298.84 = 58,266.80 : x
  2. Step 2: Convert to fraction form
    106,014.44/146,298.84 = 58,266.80/x
  3. Step 3: Cross multiply
    106,014.44x = 146,298.84 × 58,266.80
  4. Step 4: Simplify right side
    106,014.44x = 8,524,365,250.51
  5. Step 5: Solve for x
    x = 8,524,365,250.51/106,014.44
  6. Step 6: Final answer
    x = 80,407.59

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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.