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Finding the Fourth Proportional to 204,703.74, 282,491.73 and 118,679.40

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Solution

The fourth proportional to 204,703.74, 282,491.73 and 118,679.40 is: 163,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,703.74 : 282,491.73 = 118,679.40 : x
  2. Step 2: Convert to fraction form
    204,703.74/282,491.73 = 118,679.40/x
  3. Step 3: Cross multiply
    204,703.74x = 282,491.73 × 118,679.40
  4. Step 4: Simplify right side
    204,703.74x = 33,525,949,021.36
  5. Step 5: Solve for x
    x = 33,525,949,021.36/204,703.74
  6. Step 6: Final answer
    x = 163,777.90

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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.