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Finding the Fourth Proportional to 194,602.07, 268,550.74 and 105,178.07

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Solution

The fourth proportional to 194,602.07, 268,550.74 and 105,178.07 is: 145,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,602.07 : 268,550.74 = 105,178.07 : x
  2. Step 2: Convert to fraction form
    194,602.07/268,550.74 = 105,178.07/x
  3. Step 3: Cross multiply
    194,602.07x = 268,550.74 × 105,178.07
  4. Step 4: Simplify right side
    194,602.07x = 28,245,649,333.12
  5. Step 5: Solve for x
    x = 28,245,649,333.12/194,602.07
  6. Step 6: Final answer
    x = 145,145.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.