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Finding the Fourth Proportional to 105,994, 146,125.54 and 84,556.48

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Solution

The fourth proportional to 105,994, 146,125.54 and 84,556.48 is: 116,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994 : 146,125.54 = 84,556.48 : x
  2. Step 2: Convert to fraction form
    105,994/146,125.54 = 84,556.48/x
  3. Step 3: Cross multiply
    105,994x = 146,125.54 × 84,556.48
  4. Step 4: Simplify right side
    105,994x = 12,355,861,300.50
  5. Step 5: Solve for x
    x = 12,355,861,300.50/105,994
  6. Step 6: Final answer
    x = 116,571.33

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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.