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Finding the Fourth Proportional to 130,033, 195,105.84 and 45,853.29

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Solution

The fourth proportional to 130,033, 195,105.84 and 45,853.29 is: 68,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033 : 195,105.84 = 45,853.29 : x
  2. Step 2: Convert to fraction form
    130,033/195,105.84 = 45,853.29/x
  3. Step 3: Cross multiply
    130,033x = 195,105.84 × 45,853.29
  4. Step 4: Simplify right side
    130,033x = 8,946,244,662.21
  5. Step 5: Solve for x
    x = 8,946,244,662.21/130,033
  6. Step 6: Final answer
    x = 68,799.80

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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.