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Finding the Fourth Proportional to 194,762, 268,771.58 and 105,338

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Solution

The fourth proportional to 194,762, 268,771.58 and 105,338 is: 145,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,762 : 268,771.58 = 105,338 : x
  2. Step 2: Convert to fraction form
    194,762/268,771.58 = 105,338/x
  3. Step 3: Cross multiply
    194,762x = 268,771.58 × 105,338
  4. Step 4: Simplify right side
    194,762x = 28,311,860,694.04
  5. Step 5: Solve for x
    x = 28,311,860,694.04/194,762
  6. Step 6: Final answer
    x = 145,366.45

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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.