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Finding the Fourth Proportional to 201,306.19, 277,802.45 and 110,668

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Solution

The fourth proportional to 201,306.19, 277,802.45 and 110,668 is: 152,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306.19 : 277,802.45 = 110,668 : x
  2. Step 2: Convert to fraction form
    201,306.19/277,802.45 = 110,668/x
  3. Step 3: Cross multiply
    201,306.19x = 277,802.45 × 110,668
  4. Step 4: Simplify right side
    201,306.19x = 30,743,840,983.26
  5. Step 5: Solve for x
    x = 30,743,840,983.26/201,306.19
  6. Step 6: Final answer
    x = 152,721.79

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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.