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Finding the Fourth Proportional to 254,715.84, 381,548.70 and 149,214.96

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Solution

The fourth proportional to 254,715.84, 381,548.70 and 149,214.96 is: 223,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,715.84 : 381,548.70 = 149,214.96 : x
  2. Step 2: Convert to fraction form
    254,715.84/381,548.70 = 149,214.96/x
  3. Step 3: Cross multiply
    254,715.84x = 381,548.70 × 149,214.96
  4. Step 4: Simplify right side
    254,715.84x = 56,932,774,008.55
  5. Step 5: Solve for x
    x = 56,932,774,008.55/254,715.84
  6. Step 6: Final answer
    x = 223,514.85

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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.