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Finding the Fourth Proportional to 119,190.94, 178,860.24 and 69,294.52

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Solution

The fourth proportional to 119,190.94, 178,860.24 and 69,294.52 is: 103,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,190.94 : 178,860.24 = 69,294.52 : x
  2. Step 2: Convert to fraction form
    119,190.94/178,860.24 = 69,294.52/x
  3. Step 3: Cross multiply
    119,190.94x = 178,860.24 × 69,294.52
  4. Step 4: Simplify right side
    119,190.94x = 12,394,034,477.88
  5. Step 5: Solve for x
    x = 12,394,034,477.88/119,190.94
  6. Step 6: Final answer
    x = 103,984.70

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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.