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Finding the Fourth Proportional to 190,284.38, 285,453.20 and 77,980.54

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Solution

The fourth proportional to 190,284.38, 285,453.20 and 77,980.54 is: 116,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,284.38 : 285,453.20 = 77,980.54 : x
  2. Step 2: Convert to fraction form
    190,284.38/285,453.20 = 77,980.54/x
  3. Step 3: Cross multiply
    190,284.38x = 285,453.20 × 77,980.54
  4. Step 4: Simplify right side
    190,284.38x = 22,259,794,680.73
  5. Step 5: Solve for x
    x = 22,259,794,680.73/190,284.38
  6. Step 6: Final answer
    x = 116,981.72

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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.