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Finding the Fourth Proportional to 194,495.08, 268,403.30 and 105,071.08

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Solution

The fourth proportional to 194,495.08, 268,403.30 and 105,071.08 is: 144,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,495.08 : 268,403.30 = 105,071.08 : x
  2. Step 2: Convert to fraction form
    194,495.08/268,403.30 = 105,071.08/x
  3. Step 3: Cross multiply
    194,495.08x = 268,403.30 × 105,071.08
  4. Step 4: Simplify right side
    194,495.08x = 28,201,424,606.56
  5. Step 5: Solve for x
    x = 28,201,424,606.56/194,495.08
  6. Step 6: Final answer
    x = 144,998.14

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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.