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Finding the Fourth Proportional to 256,353.02, 384,530.48 and 78,858.80

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Solution

The fourth proportional to 256,353.02, 384,530.48 and 78,858.80 is: 118,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,353.02 : 384,530.48 = 78,858.80 : x
  2. Step 2: Convert to fraction form
    256,353.02/384,530.48 = 78,858.80/x
  3. Step 3: Cross multiply
    256,353.02x = 384,530.48 × 78,858.80
  4. Step 4: Simplify right side
    256,353.02x = 30,323,611,821.93
  5. Step 5: Solve for x
    x = 30,323,611,821.93/256,353.02
  6. Step 6: Final answer
    x = 118,288.49

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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.