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Finding the Fourth Proportional to 231,172.68, 346,774.14 and 71,229

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Solution

The fourth proportional to 231,172.68, 346,774.14 and 71,229 is: 106,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,172.68 : 346,774.14 = 71,229 : x
  2. Step 2: Convert to fraction form
    231,172.68/346,774.14 = 71,229/x
  3. Step 3: Cross multiply
    231,172.68x = 346,774.14 × 71,229
  4. Step 4: Simplify right side
    231,172.68x = 24,700,375,218.06
  5. Step 5: Solve for x
    x = 24,700,375,218.06/231,172.68
  6. Step 6: Final answer
    x = 106,848.16

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