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Finding the Fourth Proportional to 194,858.08, 268,904 and 105,434.08

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Solution

The fourth proportional to 194,858.08, 268,904 and 105,434.08 is: 145,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,858.08 : 268,904 = 105,434.08 : x
  2. Step 2: Convert to fraction form
    194,858.08/268,904 = 105,434.08/x
  3. Step 3: Cross multiply
    194,858.08x = 268,904 × 105,434.08
  4. Step 4: Simplify right side
    194,858.08x = 28,351,645,848.32
  5. Step 5: Solve for x
    x = 28,351,645,848.32/194,858.08
  6. Step 6: Final answer
    x = 145,498.95

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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.