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Finding the Fourth Proportional to 223,801.60, 308,845.40 and 123,199.60

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Solution

The fourth proportional to 223,801.60, 308,845.40 and 123,199.60 is: 170,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,801.60 : 308,845.40 = 123,199.60 : x
  2. Step 2: Convert to fraction form
    223,801.60/308,845.40 = 123,199.60/x
  3. Step 3: Cross multiply
    223,801.60x = 308,845.40 × 123,199.60
  4. Step 4: Simplify right side
    223,801.60x = 38,049,629,741.84
  5. Step 5: Solve for x
    x = 38,049,629,741.84/223,801.60
  6. Step 6: Final answer
    x = 170,015.00

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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.