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Finding the Fourth Proportional to 256,336.23, 384,510.50 and 78,844.77

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Solution

The fourth proportional to 256,336.23, 384,510.50 and 78,844.77 is: 118,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,336.23 : 384,510.50 = 78,844.77 : x
  2. Step 2: Convert to fraction form
    256,336.23/384,510.50 = 78,844.77/x
  3. Step 3: Cross multiply
    256,336.23x = 384,510.50 × 78,844.77
  4. Step 4: Simplify right side
    256,336.23x = 30,316,641,540.86
  5. Step 5: Solve for x
    x = 30,316,641,540.86/256,336.23
  6. Step 6: Final answer
    x = 118,269.05

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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.