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Finding the Fourth Proportional to 201,883.20, 302,824.80 and 188,761.20

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Solution

The fourth proportional to 201,883.20, 302,824.80 and 188,761.20 is: 283,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.20 : 302,824.80 = 188,761.20 : x
  2. Step 2: Convert to fraction form
    201,883.20/302,824.80 = 188,761.20/x
  3. Step 3: Cross multiply
    201,883.20x = 302,824.80 × 188,761.20
  4. Step 4: Simplify right side
    201,883.20x = 57,161,572,637.76
  5. Step 5: Solve for x
    x = 57,161,572,637.76/201,883.20
  6. Step 6: Final answer
    x = 283,141.80

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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.