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Finding the Fourth Proportional to 204,703.21, 282,491.01 and 118,678.90

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Solution

The fourth proportional to 204,703.21, 282,491.01 and 118,678.90 is: 163,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,703.21 : 282,491.01 = 118,678.90 : x
  2. Step 2: Convert to fraction form
    204,703.21/282,491.01 = 118,678.90/x
  3. Step 3: Cross multiply
    204,703.21x = 282,491.01 × 118,678.90
  4. Step 4: Simplify right side
    204,703.21x = 33,525,722,326.69
  5. Step 5: Solve for x
    x = 33,525,722,326.69/204,703.21
  6. Step 6: Final answer
    x = 163,777.22

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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.