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Finding the Fourth Proportional to 188,074.80, 259,541.19 and 103,191.84

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Solution

The fourth proportional to 188,074.80, 259,541.19 and 103,191.84 is: 142,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,074.80 : 259,541.19 = 103,191.84 : x
  2. Step 2: Convert to fraction form
    188,074.80/259,541.19 = 103,191.84/x
  3. Step 3: Cross multiply
    188,074.80x = 259,541.19 × 103,191.84
  4. Step 4: Simplify right side
    188,074.80x = 26,782,532,951.89
  5. Step 5: Solve for x
    x = 26,782,532,951.89/188,074.80
  6. Step 6: Final answer
    x = 142,403.62

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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.