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Finding the Fourth Proportional to 235,473.88, 325,809.66 and 205,322.03

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Solution

The fourth proportional to 235,473.88, 325,809.66 and 205,322.03 is: 284,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,473.88 : 325,809.66 = 205,322.03 : x
  2. Step 2: Convert to fraction form
    235,473.88/325,809.66 = 205,322.03/x
  3. Step 3: Cross multiply
    235,473.88x = 325,809.66 × 205,322.03
  4. Step 4: Simplify right side
    235,473.88x = 66,895,900,784.81
  5. Step 5: Solve for x
    x = 66,895,900,784.81/235,473.88
  6. Step 6: Final answer
    x = 284,090.54

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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.