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Finding the Fourth Proportional to 199,382.53, 275,172.65 and 114,497.77

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Solution

The fourth proportional to 199,382.53, 275,172.65 and 114,497.77 is: 158,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,382.53 : 275,172.65 = 114,497.77 : x
  2. Step 2: Convert to fraction form
    199,382.53/275,172.65 = 114,497.77/x
  3. Step 3: Cross multiply
    199,382.53x = 275,172.65 × 114,497.77
  4. Step 4: Simplify right side
    199,382.53x = 31,506,654,217.50
  5. Step 5: Solve for x
    x = 31,506,654,217.50/199,382.53
  6. Step 6: Final answer
    x = 158,021.14

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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.