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Finding the Fourth Proportional to 133,870.14, 200,824.00 and 39,107.27

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Solution

The fourth proportional to 133,870.14, 200,824.00 and 39,107.27 is: 58,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870.14 : 200,824.00 = 39,107.27 : x
  2. Step 2: Convert to fraction form
    133,870.14/200,824.00 = 39,107.27/x
  3. Step 3: Cross multiply
    133,870.14x = 200,824.00 × 39,107.27
  4. Step 4: Simplify right side
    133,870.14x = 7,853,678,794.77
  5. Step 5: Solve for x
    x = 7,853,678,794.77/133,870.14
  6. Step 6: Final answer
    x = 58,666.40

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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.