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Finding the Fourth Proportional to 194,884.88, 268,942.02 and 105,460.88

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Solution

The fourth proportional to 194,884.88, 268,942.02 and 105,460.88 is: 145,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,884.88 : 268,942.02 = 105,460.88 : x
  2. Step 2: Convert to fraction form
    194,884.88/268,942.02 = 105,460.88/x
  3. Step 3: Cross multiply
    194,884.88x = 268,942.02 × 105,460.88
  4. Step 4: Simplify right side
    194,884.88x = 28,362,862,098.18
  5. Step 5: Solve for x
    x = 28,362,862,098.18/194,884.88
  6. Step 6: Final answer
    x = 145,536.49

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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.