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Finding the Fourth Proportional to 305,858.16, 458,787.24 and 95,512.50

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Solution

The fourth proportional to 305,858.16, 458,787.24 and 95,512.50 is: 143,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,858.16 : 458,787.24 = 95,512.50 : x
  2. Step 2: Convert to fraction form
    305,858.16/458,787.24 = 95,512.50/x
  3. Step 3: Cross multiply
    305,858.16x = 458,787.24 × 95,512.50
  4. Step 4: Simplify right side
    305,858.16x = 43,819,916,260.50
  5. Step 5: Solve for x
    x = 43,819,916,260.50/305,858.16
  6. Step 6: Final answer
    x = 143,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.