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Finding the Fourth Proportional to 194,970, 269,058.96 and 105,546

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Solution

The fourth proportional to 194,970, 269,058.96 and 105,546 is: 145,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,970 : 269,058.96 = 105,546 : x
  2. Step 2: Convert to fraction form
    194,970/269,058.96 = 105,546/x
  3. Step 3: Cross multiply
    194,970x = 269,058.96 × 105,546
  4. Step 4: Simplify right side
    194,970x = 28,398,096,992.16
  5. Step 5: Solve for x
    x = 28,398,096,992.16/194,970
  6. Step 6: Final answer
    x = 145,653.67

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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.