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Finding the Fourth Proportional to 256,226.45, 384,503.70 and 149,610.20

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Solution

The fourth proportional to 256,226.45, 384,503.70 and 149,610.20 is: 224,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,226.45 : 384,503.70 = 149,610.20 : x
  2. Step 2: Convert to fraction form
    256,226.45/384,503.70 = 149,610.20/x
  3. Step 3: Cross multiply
    256,226.45x = 384,503.70 × 149,610.20
  4. Step 4: Simplify right side
    256,226.45x = 57,525,675,457.74
  5. Step 5: Solve for x
    x = 57,525,675,457.74/256,226.45
  6. Step 6: Final answer
    x = 224,511.07

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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.