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Finding the Fourth Proportional to 256,262.69, 384,400.18 and 78,771.23

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Solution

The fourth proportional to 256,262.69, 384,400.18 and 78,771.23 is: 118,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,262.69 : 384,400.18 = 78,771.23 : x
  2. Step 2: Convert to fraction form
    256,262.69/384,400.18 = 78,771.23/x
  3. Step 3: Cross multiply
    256,262.69x = 384,400.18 × 78,771.23
  4. Step 4: Simplify right side
    256,262.69x = 30,279,676,771.04
  5. Step 5: Solve for x
    x = 30,279,676,771.04/256,262.69
  6. Step 6: Final answer
    x = 118,158.74

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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.