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Finding the Fourth Proportional to 129,410.96, 194,119.13 and 34,641.03

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Solution

The fourth proportional to 129,410.96, 194,119.13 and 34,641.03 is: 51,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,410.96 : 194,119.13 = 34,641.03 : x
  2. Step 2: Convert to fraction form
    129,410.96/194,119.13 = 34,641.03/x
  3. Step 3: Cross multiply
    129,410.96x = 194,119.13 × 34,641.03
  4. Step 4: Simplify right side
    129,410.96x = 6,724,485,768.10
  5. Step 5: Solve for x
    x = 6,724,485,768.10/129,410.96
  6. Step 6: Final answer
    x = 51,962.26

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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.