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Finding the Fourth Proportional to 189,907.36, 284,773.22 and 69,934.02

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Solution

The fourth proportional to 189,907.36, 284,773.22 and 69,934.02 is: 104,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,907.36 : 284,773.22 = 69,934.02 : x
  2. Step 2: Convert to fraction form
    189,907.36/284,773.22 = 69,934.02/x
  3. Step 3: Cross multiply
    189,907.36x = 284,773.22 × 69,934.02
  4. Step 4: Simplify right side
    189,907.36x = 19,915,334,289.41
  5. Step 5: Solve for x
    x = 19,915,334,289.41/189,907.36
  6. Step 6: Final answer
    x = 104,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.