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Finding the Fourth Proportional to 161,914, 223,470.48 and 94,846

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Solution

The fourth proportional to 161,914, 223,470.48 and 94,846 is: 130,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,914 : 223,470.48 = 94,846 : x
  2. Step 2: Convert to fraction form
    161,914/223,470.48 = 94,846/x
  3. Step 3: Cross multiply
    161,914x = 223,470.48 × 94,846
  4. Step 4: Simplify right side
    161,914x = 21,195,281,146.08
  5. Step 5: Solve for x
    x = 21,195,281,146.08/161,914
  6. Step 6: Final answer
    x = 130,904.56

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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.