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Finding the Fourth Proportional to 119,257.94, 178,893.04 and 30,512.22

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Solution

The fourth proportional to 119,257.94, 178,893.04 and 30,512.22 is: 45,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,257.94 : 178,893.04 = 30,512.22 : x
  2. Step 2: Convert to fraction form
    119,257.94/178,893.04 = 30,512.22/x
  3. Step 3: Cross multiply
    119,257.94x = 178,893.04 × 30,512.22
  4. Step 4: Simplify right side
    119,257.94x = 5,458,423,792.95
  5. Step 5: Solve for x
    x = 5,458,423,792.95/119,257.94
  6. Step 6: Final answer
    x = 45,769.90

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1.5x scale

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.