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Finding the Fourth Proportional to 129,398.50, 194,097.84 and 35,904.34

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Solution

The fourth proportional to 129,398.50, 194,097.84 and 35,904.34 is: 53,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,398.50 : 194,097.84 = 35,904.34 : x
  2. Step 2: Convert to fraction form
    129,398.50/194,097.84 = 35,904.34/x
  3. Step 3: Cross multiply
    129,398.50x = 194,097.84 × 35,904.34
  4. Step 4: Simplify right side
    129,398.50x = 6,968,954,840.63
  5. Step 5: Solve for x
    x = 6,968,954,840.63/129,398.50
  6. Step 6: Final answer
    x = 53,856.53

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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.