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Finding the Fourth Proportional to 256,097.10, 384,145.65 and 108,333.90

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Solution

The fourth proportional to 256,097.10, 384,145.65 and 108,333.90 is: 162,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.10 : 384,145.65 = 108,333.90 : x
  2. Step 2: Convert to fraction form
    256,097.10/384,145.65 = 108,333.90/x
  3. Step 3: Cross multiply
    256,097.10x = 384,145.65 × 108,333.90
  4. Step 4: Simplify right side
    256,097.10x = 41,615,996,432.54
  5. Step 5: Solve for x
    x = 41,615,996,432.54/256,097.10
  6. Step 6: Final answer
    x = 162,500.85

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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.