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Finding the Fourth Proportional to 282,258.33, 389,839.80 and 185,892.99

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Solution

The fourth proportional to 282,258.33, 389,839.80 and 185,892.99 is: 256,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,258.33 : 389,839.80 = 185,892.99 : x
  2. Step 2: Convert to fraction form
    282,258.33/389,839.80 = 185,892.99/x
  3. Step 3: Cross multiply
    282,258.33x = 389,839.80 × 185,892.99
  4. Step 4: Simplify right side
    282,258.33x = 72,468,486,043.00
  5. Step 5: Solve for x
    x = 72,468,486,043.00/282,258.33
  6. Step 6: Final answer
    x = 256,745.25

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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.