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Finding the Fourth Proportional to 194,738.94, 292,097.40 and 68,385

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Solution

The fourth proportional to 194,738.94, 292,097.40 and 68,385 is: 102,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738.94 : 292,097.40 = 68,385 : x
  2. Step 2: Convert to fraction form
    194,738.94/292,097.40 = 68,385/x
  3. Step 3: Cross multiply
    194,738.94x = 292,097.40 × 68,385
  4. Step 4: Simplify right side
    194,738.94x = 19,975,080,699
  5. Step 5: Solve for x
    x = 19,975,080,699/194,738.94
  6. Step 6: Final answer
    x = 102,573.63

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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.