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Finding the Fourth Proportional to 257,808.96, 386,734.20 and 97,961.43

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Solution

The fourth proportional to 257,808.96, 386,734.20 and 97,961.43 is: 146,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.96 : 386,734.20 = 97,961.43 : x
  2. Step 2: Convert to fraction form
    257,808.96/386,734.20 = 97,961.43/x
  3. Step 3: Cross multiply
    257,808.96x = 386,734.20 × 97,961.43
  4. Step 4: Simplify right side
    257,808.96x = 37,885,036,344.80
  5. Step 5: Solve for x
    x = 37,885,036,344.80/257,808.96
  6. Step 6: Final answer
    x = 146,950.04

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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.