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Finding the Fourth Proportional to 301,881.42, 416,422.89 and 188,507.34

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Solution

The fourth proportional to 301,881.42, 416,422.89 and 188,507.34 is: 260,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,881.42 : 416,422.89 = 188,507.34 : x
  2. Step 2: Convert to fraction form
    301,881.42/416,422.89 = 188,507.34/x
  3. Step 3: Cross multiply
    301,881.42x = 416,422.89 × 188,507.34
  4. Step 4: Simplify right side
    301,881.42x = 78,498,771,309.01
  5. Step 5: Solve for x
    x = 78,498,771,309.01/301,881.42
  6. Step 6: Final answer
    x = 260,031.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.