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Finding the Fourth Proportional to 263,989.64, 364,606.40 and 178,959.08

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Solution

The fourth proportional to 263,989.64, 364,606.40 and 178,959.08 is: 247,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,989.64 : 364,606.40 = 178,959.08 : x
  2. Step 2: Convert to fraction form
    263,989.64/364,606.40 = 178,959.08/x
  3. Step 3: Cross multiply
    263,989.64x = 364,606.40 × 178,959.08
  4. Step 4: Simplify right side
    263,989.64x = 65,249,627,265.03
  5. Step 5: Solve for x
    x = 65,249,627,265.03/263,989.64
  6. Step 6: Final answer
    x = 247,167.38

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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.