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Finding the Fourth Proportional to 119,485.74, 178,834.88 and 106,363.74

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Solution

The fourth proportional to 119,485.74, 178,834.88 and 106,363.74 is: 159,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,485.74 : 178,834.88 = 106,363.74 : x
  2. Step 2: Convert to fraction form
    119,485.74/178,834.88 = 106,363.74/x
  3. Step 3: Cross multiply
    119,485.74x = 178,834.88 × 106,363.74
  4. Step 4: Simplify right side
    119,485.74x = 19,021,546,679.25
  5. Step 5: Solve for x
    x = 19,021,546,679.25/119,485.74
  6. Step 6: Final answer
    x = 159,195.12

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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.