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Finding the Fourth Proportional to 129,392, 194,088.09 and 35,897.84

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Solution

The fourth proportional to 129,392, 194,088.09 and 35,897.84 is: 53,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,392 : 194,088.09 = 35,897.84 : x
  2. Step 2: Convert to fraction form
    129,392/194,088.09 = 35,897.84/x
  3. Step 3: Cross multiply
    129,392x = 194,088.09 × 35,897.84
  4. Step 4: Simplify right side
    129,392x = 6,967,343,200.73
  5. Step 5: Solve for x
    x = 6,967,343,200.73/129,392
  6. Step 6: Final answer
    x = 53,846.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.