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Finding the Fourth Proportional to 174,159.27, 260,986.74 and 120,068.43

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Solution

The fourth proportional to 174,159.27, 260,986.74 and 120,068.43 is: 179,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,159.27 : 260,986.74 = 120,068.43 : x
  2. Step 2: Convert to fraction form
    174,159.27/260,986.74 = 120,068.43/x
  3. Step 3: Cross multiply
    174,159.27x = 260,986.74 × 120,068.43
  4. Step 4: Simplify right side
    174,159.27x = 31,336,268,122.62
  5. Step 5: Solve for x
    x = 31,336,268,122.62/174,159.27
  6. Step 6: Final answer
    x = 179,928.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.