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Finding the Fourth Proportional to 204,001.80, 305,792.10 and 91,735.80

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Solution

The fourth proportional to 204,001.80, 305,792.10 and 91,735.80 is: 137,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,001.80 : 305,792.10 = 91,735.80 : x
  2. Step 2: Convert to fraction form
    204,001.80/305,792.10 = 91,735.80/x
  3. Step 3: Cross multiply
    204,001.80x = 305,792.10 × 91,735.80
  4. Step 4: Simplify right side
    204,001.80x = 28,052,082,927.18
  5. Step 5: Solve for x
    x = 28,052,082,927.18/204,001.80
  6. Step 6: Final answer
    x = 137,509.00

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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.