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Finding the Fourth Proportional to 106,098.60, 146,408.94 and 60,776.76

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Solution

The fourth proportional to 106,098.60, 146,408.94 and 60,776.76 is: 83,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.60 : 146,408.94 = 60,776.76 : x
  2. Step 2: Convert to fraction form
    106,098.60/146,408.94 = 60,776.76/x
  3. Step 3: Cross multiply
    106,098.60x = 146,408.94 × 60,776.76
  4. Step 4: Simplify right side
    106,098.60x = 8,898,261,008.23
  5. Step 5: Solve for x
    x = 8,898,261,008.23/106,098.60
  6. Step 6: Final answer
    x = 83,867.85

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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.