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Finding the Fourth Proportional to 201,304.20, 277,769.36 and 110,664

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Solution

The fourth proportional to 201,304.20, 277,769.36 and 110,664 is: 152,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,304.20 : 277,769.36 = 110,664 : x
  2. Step 2: Convert to fraction form
    201,304.20/277,769.36 = 110,664/x
  3. Step 3: Cross multiply
    201,304.20x = 277,769.36 × 110,664
  4. Step 4: Simplify right side
    201,304.20x = 30,739,068,455.04
  5. Step 5: Solve for x
    x = 30,739,068,455.04/201,304.20
  6. Step 6: Final answer
    x = 152,699.59

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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.