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Finding the Fourth Proportional to 288,031.37, 397,419.66 and 167,102.61

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Solution

The fourth proportional to 288,031.37, 397,419.66 and 167,102.61 is: 230,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,031.37 : 397,419.66 = 167,102.61 : x
  2. Step 2: Convert to fraction form
    288,031.37/397,419.66 = 167,102.61/x
  3. Step 3: Cross multiply
    288,031.37x = 397,419.66 × 167,102.61
  4. Step 4: Simplify right side
    288,031.37x = 66,409,862,451.31
  5. Step 5: Solve for x
    x = 66,409,862,451.31/288,031.37
  6. Step 6: Final answer
    x = 230,564.69

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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.