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Finding the Fourth Proportional to 201,721.69, 302,572.81 and 49,918.15

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Solution

The fourth proportional to 201,721.69, 302,572.81 and 49,918.15 is: 74,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721.69 : 302,572.81 = 49,918.15 : x
  2. Step 2: Convert to fraction form
    201,721.69/302,572.81 = 49,918.15/x
  3. Step 3: Cross multiply
    201,721.69x = 302,572.81 × 49,918.15
  4. Step 4: Simplify right side
    201,721.69x = 15,103,874,915.50
  5. Step 5: Solve for x
    x = 15,103,874,915.50/201,721.69
  6. Step 6: Final answer
    x = 74,874.82

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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.