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Finding the Fourth Proportional to 199,538.52, 275,464.74 and 154,114.53

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Solution

The fourth proportional to 199,538.52, 275,464.74 and 154,114.53 is: 212,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538.52 : 275,464.74 = 154,114.53 : x
  2. Step 2: Convert to fraction form
    199,538.52/275,464.74 = 154,114.53/x
  3. Step 3: Cross multiply
    199,538.52x = 275,464.74 × 154,114.53
  4. Step 4: Simplify right side
    199,538.52x = 42,453,118,936.67
  5. Step 5: Solve for x
    x = 42,453,118,936.67/199,538.52
  6. Step 6: Final answer
    x = 212,756.51

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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.