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Finding the Fourth Proportional to 133,849.46, 200,643.63 and 63,709.94

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Solution

The fourth proportional to 133,849.46, 200,643.63 and 63,709.94 is: 95,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.46 : 200,643.63 = 63,709.94 : x
  2. Step 2: Convert to fraction form
    133,849.46/200,643.63 = 63,709.94/x
  3. Step 3: Cross multiply
    133,849.46x = 200,643.63 × 63,709.94
  4. Step 4: Simplify right side
    133,849.46x = 12,782,993,628.68
  5. Step 5: Solve for x
    x = 12,782,993,628.68/133,849.46
  6. Step 6: Final answer
    x = 95,502.77

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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.