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Finding the Fourth Proportional to 223,985.50, 309,100 and 123,383.50

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Solution

The fourth proportional to 223,985.50, 309,100 and 123,383.50 is: 170,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,985.50 : 309,100 = 123,383.50 : x
  2. Step 2: Convert to fraction form
    223,985.50/309,100 = 123,383.50/x
  3. Step 3: Cross multiply
    223,985.50x = 309,100 × 123,383.50
  4. Step 4: Simplify right side
    223,985.50x = 38,137,839,850
  5. Step 5: Solve for x
    x = 38,137,839,850/223,985.50
  6. Step 6: Final answer
    x = 170,269.24

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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.