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Finding the Fourth Proportional to 199,097.48, 274,754.90 and 118,527.80

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Solution

The fourth proportional to 199,097.48, 274,754.90 and 118,527.80 is: 163,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,097.48 : 274,754.90 = 118,527.80 : x
  2. Step 2: Convert to fraction form
    199,097.48/274,754.90 = 118,527.80/x
  3. Step 3: Cross multiply
    199,097.48x = 274,754.90 × 118,527.80
  4. Step 4: Simplify right side
    199,097.48x = 32,566,093,836.22
  5. Step 5: Solve for x
    x = 32,566,093,836.22/199,097.48
  6. Step 6: Final answer
    x = 163,568.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.