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Finding the Fourth Proportional to 276,188.94, 413,943.75 and 142,993.08

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Solution

The fourth proportional to 276,188.94, 413,943.75 and 142,993.08 is: 214,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,188.94 : 413,943.75 = 142,993.08 : x
  2. Step 2: Convert to fraction form
    276,188.94/413,943.75 = 142,993.08/x
  3. Step 3: Cross multiply
    276,188.94x = 413,943.75 × 142,993.08
  4. Step 4: Simplify right side
    276,188.94x = 59,191,091,759.25
  5. Step 5: Solve for x
    x = 59,191,091,759.25/276,188.94
  6. Step 6: Final answer
    x = 214,313.77

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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.