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Finding the Fourth Proportional to 148,936.70, 223,405.05 and 65,992.70

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Solution

The fourth proportional to 148,936.70, 223,405.05 and 65,992.70 is: 98,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,936.70 : 223,405.05 = 65,992.70 : x
  2. Step 2: Convert to fraction form
    148,936.70/223,405.05 = 65,992.70/x
  3. Step 3: Cross multiply
    148,936.70x = 223,405.05 × 65,992.70
  4. Step 4: Simplify right side
    148,936.70x = 14,743,102,443.14
  5. Step 5: Solve for x
    x = 14,743,102,443.14/148,936.70
  6. Step 6: Final answer
    x = 98,989.05

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Why These Related Problems?

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