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Finding the Fourth Proportional to 133,502.20, 200,222.14 and 38,706.94

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Solution

The fourth proportional to 133,502.20, 200,222.14 and 38,706.94 is: 58,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,502.20 : 200,222.14 = 38,706.94 : x
  2. Step 2: Convert to fraction form
    133,502.20/200,222.14 = 38,706.94/x
  3. Step 3: Cross multiply
    133,502.20x = 200,222.14 × 38,706.94
  4. Step 4: Simplify right side
    133,502.20x = 7,749,986,359.65
  5. Step 5: Solve for x
    x = 7,749,986,359.65/133,502.20
  6. Step 6: Final answer
    x = 58,051.38

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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.