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Finding the Fourth Proportional to 201,285.34, 277,788.26 and 120,711.40

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Solution

The fourth proportional to 201,285.34, 277,788.26 and 120,711.40 is: 166,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285.34 : 277,788.26 = 120,711.40 : x
  2. Step 2: Convert to fraction form
    201,285.34/277,788.26 = 120,711.40/x
  3. Step 3: Cross multiply
    201,285.34x = 277,788.26 × 120,711.40
  4. Step 4: Simplify right side
    201,285.34x = 33,532,209,768.16
  5. Step 5: Solve for x
    x = 33,532,209,768.16/201,285.34
  6. Step 6: Final answer
    x = 166,590.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.