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Finding the Fourth Proportional to 194,871.94, 268,924.08 and 105,447.94

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Solution

The fourth proportional to 194,871.94, 268,924.08 and 105,447.94 is: 145,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,871.94 : 268,924.08 = 105,447.94 : x
  2. Step 2: Convert to fraction form
    194,871.94/268,924.08 = 105,447.94/x
  3. Step 3: Cross multiply
    194,871.94x = 268,924.08 × 105,447.94
  4. Step 4: Simplify right side
    194,871.94x = 28,357,489,975.51
  5. Step 5: Solve for x
    x = 28,357,489,975.51/194,871.94
  6. Step 6: Final answer
    x = 145,518.59

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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.