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Finding the Fourth Proportional to 194,903.94, 268,967.44 and 105,479.94

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Solution

The fourth proportional to 194,903.94, 268,967.44 and 105,479.94 is: 145,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,903.94 : 268,967.44 = 105,479.94 : x
  2. Step 2: Convert to fraction form
    194,903.94/268,967.44 = 105,479.94/x
  3. Step 3: Cross multiply
    194,903.94x = 268,967.44 × 105,479.94
  4. Step 4: Simplify right side
    194,903.94x = 28,370,668,905.75
  5. Step 5: Solve for x
    x = 28,370,668,905.75/194,903.94
  6. Step 6: Final answer
    x = 145,562.32

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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.