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Finding the Fourth Proportional to 256,285.60, 384,284.41 and 106,425.07

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Solution

The fourth proportional to 256,285.60, 384,284.41 and 106,425.07 is: 159,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,285.60 : 384,284.41 = 106,425.07 : x
  2. Step 2: Convert to fraction form
    256,285.60/384,284.41 = 106,425.07/x
  3. Step 3: Cross multiply
    256,285.60x = 384,284.41 × 106,425.07
  4. Step 4: Simplify right side
    256,285.60x = 40,897,495,234.16
  5. Step 5: Solve for x
    x = 40,897,495,234.16/256,285.60
  6. Step 6: Final answer
    x = 159,577.81

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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.