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Finding the Fourth Proportional to 161,964, 223,540.56 and 94,896

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Solution

The fourth proportional to 161,964, 223,540.56 and 94,896 is: 130,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,964 : 223,540.56 = 94,896 : x
  2. Step 2: Convert to fraction form
    161,964/223,540.56 = 94,896/x
  3. Step 3: Cross multiply
    161,964x = 223,540.56 × 94,896
  4. Step 4: Simplify right side
    161,964x = 21,213,104,981.76
  5. Step 5: Solve for x
    x = 21,213,104,981.76/161,964
  6. Step 6: Final answer
    x = 130,974.20

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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.