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Finding the Fourth Proportional to 201,866.90, 302,472.30 and 126,852.80

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Solution

The fourth proportional to 201,866.90, 302,472.30 and 126,852.80 is: 190,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866.90 : 302,472.30 = 126,852.80 : x
  2. Step 2: Convert to fraction form
    201,866.90/302,472.30 = 126,852.80/x
  3. Step 3: Cross multiply
    201,866.90x = 302,472.30 × 126,852.80
  4. Step 4: Simplify right side
    201,866.90x = 38,369,458,177.44
  5. Step 5: Solve for x
    x = 38,369,458,177.44/201,866.90
  6. Step 6: Final answer
    x = 190,073.05

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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.