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Finding the Fourth Proportional to 186,997.50, 258,075.23 and 111,546

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Solution

The fourth proportional to 186,997.50, 258,075.23 and 111,546 is: 153,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997.50 : 258,075.23 = 111,546 : x
  2. Step 2: Convert to fraction form
    186,997.50/258,075.23 = 111,546/x
  3. Step 3: Cross multiply
    186,997.50x = 258,075.23 × 111,546
  4. Step 4: Simplify right side
    186,997.50x = 28,787,259,047.85
  5. Step 5: Solve for x
    x = 28,787,259,047.85/186,997.50
  6. Step 6: Final answer
    x = 153,944.62

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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.