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Finding the Fourth Proportional to 188,232.50, 282,348.75 and 47,991.13

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Solution

The fourth proportional to 188,232.50, 282,348.75 and 47,991.13 is: 71,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,232.50 : 282,348.75 = 47,991.13 : x
  2. Step 2: Convert to fraction form
    188,232.50/282,348.75 = 47,991.13/x
  3. Step 3: Cross multiply
    188,232.50x = 282,348.75 × 47,991.13
  4. Step 4: Simplify right side
    188,232.50x = 13,550,235,566.59
  5. Step 5: Solve for x
    x = 13,550,235,566.59/188,232.50
  6. Step 6: Final answer
    x = 71,986.70

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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.