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Finding the Fourth Proportional to 119,191.94, 178,861.74 and 69,295.52

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Solution

The fourth proportional to 119,191.94, 178,861.74 and 69,295.52 is: 103,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,191.94 : 178,861.74 = 69,295.52 : x
  2. Step 2: Convert to fraction form
    119,191.94/178,861.74 = 69,295.52/x
  3. Step 3: Cross multiply
    119,191.94x = 178,861.74 × 69,295.52
  4. Step 4: Simplify right side
    119,191.94x = 12,394,317,281.40
  5. Step 5: Solve for x
    x = 12,394,317,281.40/119,191.94
  6. Step 6: Final answer
    x = 103,986.20

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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.