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Finding the Fourth Proportional to 213,615.26, 294,788.26 and 120,473.60

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Solution

The fourth proportional to 213,615.26, 294,788.26 and 120,473.60 is: 166,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.26 : 294,788.26 = 120,473.60 : x
  2. Step 2: Convert to fraction form
    213,615.26/294,788.26 = 120,473.60/x
  3. Step 3: Cross multiply
    213,615.26x = 294,788.26 × 120,473.60
  4. Step 4: Simplify right side
    213,615.26x = 35,514,201,596.59
  5. Step 5: Solve for x
    x = 35,514,201,596.59/213,615.26
  6. Step 6: Final answer
    x = 166,253.11

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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.