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Finding the Fourth Proportional to 201,306.38, 277,806.33 and 110,666.16

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Solution

The fourth proportional to 201,306.38, 277,806.33 and 110,666.16 is: 152,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306.38 : 277,806.33 = 110,666.16 : x
  2. Step 2: Convert to fraction form
    201,306.38/277,806.33 = 110,666.16/x
  3. Step 3: Cross multiply
    201,306.38x = 277,806.33 × 110,666.16
  4. Step 4: Simplify right side
    201,306.38x = 30,743,759,764.79
  5. Step 5: Solve for x
    x = 30,743,759,764.79/201,306.38
  6. Step 6: Final answer
    x = 152,721.24

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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.