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Finding the Fourth Proportional to 103,298.37, 142,635.78 and 84,180.96

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Solution

The fourth proportional to 103,298.37, 142,635.78 and 84,180.96 is: 116,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,298.37 : 142,635.78 = 84,180.96 : x
  2. Step 2: Convert to fraction form
    103,298.37/142,635.78 = 84,180.96/x
  3. Step 3: Cross multiply
    103,298.37x = 142,635.78 × 84,180.96
  4. Step 4: Simplify right side
    103,298.37x = 12,007,216,890.75
  5. Step 5: Solve for x
    x = 12,007,216,890.75/103,298.37
  6. Step 6: Final answer
    x = 116,238.20

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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.