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Finding the Fourth Proportional to 282,896.82, 424,334.34 and 95,908.32

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Solution

The fourth proportional to 282,896.82, 424,334.34 and 95,908.32 is: 143,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,896.82 : 424,334.34 = 95,908.32 : x
  2. Step 2: Convert to fraction form
    282,896.82/424,334.34 = 95,908.32/x
  3. Step 3: Cross multiply
    282,896.82x = 424,334.34 × 95,908.32
  4. Step 4: Simplify right side
    282,896.82x = 40,697,193,667.71
  5. Step 5: Solve for x
    x = 40,697,193,667.71/282,896.82
  6. Step 6: Final answer
    x = 143,858.79

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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.