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Finding the Fourth Proportional to 116,122.60, 173,838.30 and 102,298.60

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Solution

The fourth proportional to 116,122.60, 173,838.30 and 102,298.60 is: 153,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122.60 : 173,838.30 = 102,298.60 : x
  2. Step 2: Convert to fraction form
    116,122.60/173,838.30 = 102,298.60/x
  3. Step 3: Cross multiply
    116,122.60x = 173,838.30 × 102,298.60
  4. Step 4: Simplify right side
    116,122.60x = 17,783,414,716.38
  5. Step 5: Solve for x
    x = 17,783,414,716.38/116,122.60
  6. Step 6: Final answer
    x = 153,143.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.