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Finding the Fourth Proportional to 129,638, 178,900.56 and 70,022

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Solution

The fourth proportional to 129,638, 178,900.56 and 70,022 is: 96,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638 : 178,900.56 = 70,022 : x
  2. Step 2: Convert to fraction form
    129,638/178,900.56 = 70,022/x
  3. Step 3: Cross multiply
    129,638x = 178,900.56 × 70,022
  4. Step 4: Simplify right side
    129,638x = 12,526,975,012.32
  5. Step 5: Solve for x
    x = 12,526,975,012.32/129,638
  6. Step 6: Final answer
    x = 96,630.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.