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Finding the Fourth Proportional to 223,955.80, 335,933.70 and 83,696.20

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Solution

The fourth proportional to 223,955.80, 335,933.70 and 83,696.20 is: 125,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,955.80 : 335,933.70 = 83,696.20 : x
  2. Step 2: Convert to fraction form
    223,955.80/335,933.70 = 83,696.20/x
  3. Step 3: Cross multiply
    223,955.80x = 335,933.70 × 83,696.20
  4. Step 4: Simplify right side
    223,955.80x = 28,116,374,141.94
  5. Step 5: Solve for x
    x = 28,116,374,141.94/223,955.80
  6. Step 6: Final answer
    x = 125,544.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.