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Finding the Fourth Proportional to 155,309.27, 213,797.88 and 114,946.97

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Solution

The fourth proportional to 155,309.27, 213,797.88 and 114,946.97 is: 158,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,309.27 : 213,797.88 = 114,946.97 : x
  2. Step 2: Convert to fraction form
    155,309.27/213,797.88 = 114,946.97/x
  3. Step 3: Cross multiply
    155,309.27x = 213,797.88 × 114,946.97
  4. Step 4: Simplify right side
    155,309.27x = 24,575,417,429.43
  5. Step 5: Solve for x
    x = 24,575,417,429.43/155,309.27
  6. Step 6: Final answer
    x = 158,235.36

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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.