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Finding the Fourth Proportional to 256,345.10, 384,183.21 and 185,506.35

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Solution

The fourth proportional to 256,345.10, 384,183.21 and 185,506.35 is: 278,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,345.10 : 384,183.21 = 185,506.35 : x
  2. Step 2: Convert to fraction form
    256,345.10/384,183.21 = 185,506.35/x
  3. Step 3: Cross multiply
    256,345.10x = 384,183.21 × 185,506.35
  4. Step 4: Simplify right side
    256,345.10x = 71,268,425,018.38
  5. Step 5: Solve for x
    x = 71,268,425,018.38/256,345.10
  6. Step 6: Final answer
    x = 278,017.51

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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.