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Finding the Fourth Proportional to 194,583, 268,524.54 and 105,159

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Solution

The fourth proportional to 194,583, 268,524.54 and 105,159 is: 145,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,583 : 268,524.54 = 105,159 : x
  2. Step 2: Convert to fraction form
    194,583/268,524.54 = 105,159/x
  3. Step 3: Cross multiply
    194,583x = 268,524.54 × 105,159
  4. Step 4: Simplify right side
    194,583x = 28,237,772,101.86
  5. Step 5: Solve for x
    x = 28,237,772,101.86/194,583
  6. Step 6: Final answer
    x = 145,119.42

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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.