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Finding the Fourth Proportional to 201,865.80, 302,470.65 and 168,404.70

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Solution

The fourth proportional to 201,865.80, 302,470.65 and 168,404.70 is: 252,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.80 : 302,470.65 = 168,404.70 : x
  2. Step 2: Convert to fraction form
    201,865.80/302,470.65 = 168,404.70/x
  3. Step 3: Cross multiply
    201,865.80x = 302,470.65 × 168,404.70
  4. Step 4: Simplify right side
    201,865.80x = 50,937,479,072.06
  5. Step 5: Solve for x
    x = 50,937,479,072.06/201,865.80
  6. Step 6: Final answer
    x = 252,333.38

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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.