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Finding the Fourth Proportional to 201,807.44, 278,203.36 and 141,190.28

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Solution

The fourth proportional to 201,807.44, 278,203.36 and 141,190.28 is: 194,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.44 : 278,203.36 = 141,190.28 : x
  2. Step 2: Convert to fraction form
    201,807.44/278,203.36 = 141,190.28/x
  3. Step 3: Cross multiply
    201,807.44x = 278,203.36 × 141,190.28
  4. Step 4: Simplify right side
    201,807.44x = 39,279,610,295.34
  5. Step 5: Solve for x
    x = 39,279,610,295.34/201,807.44
  6. Step 6: Final answer
    x = 194,639.06

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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.