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Finding the Fourth Proportional to 295,536.88, 407,975.16 and 188,254

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Solution

The fourth proportional to 295,536.88, 407,975.16 and 188,254 is: 259,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,536.88 : 407,975.16 = 188,254 : x
  2. Step 2: Convert to fraction form
    295,536.88/407,975.16 = 188,254/x
  3. Step 3: Cross multiply
    295,536.88x = 407,975.16 × 188,254
  4. Step 4: Simplify right side
    295,536.88x = 76,802,955,770.64
  5. Step 5: Solve for x
    x = 76,802,955,770.64/295,536.88
  6. Step 6: Final answer
    x = 259,876.05

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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.