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Finding the Fourth Proportional to 223,966.80, 309,069.54 and 121,993.40

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Solution

The fourth proportional to 223,966.80, 309,069.54 and 121,993.40 is: 168,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,966.80 : 309,069.54 = 121,993.40 : x
  2. Step 2: Convert to fraction form
    223,966.80/309,069.54 = 121,993.40/x
  3. Step 3: Cross multiply
    223,966.80x = 309,069.54 × 121,993.40
  4. Step 4: Simplify right side
    223,966.80x = 37,704,444,021.04
  5. Step 5: Solve for x
    x = 37,704,444,021.04/223,966.80
  6. Step 6: Final answer
    x = 168,348.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.