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Finding the Fourth Proportional to 201,362.80, 302,044.20 and 82,973.20

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Solution

The fourth proportional to 201,362.80, 302,044.20 and 82,973.20 is: 124,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362.80 : 302,044.20 = 82,973.20 : x
  2. Step 2: Convert to fraction form
    201,362.80/302,044.20 = 82,973.20/x
  3. Step 3: Cross multiply
    201,362.80x = 302,044.20 × 82,973.20
  4. Step 4: Simplify right side
    201,362.80x = 25,061,573,815.44
  5. Step 5: Solve for x
    x = 25,061,573,815.44/201,362.80
  6. Step 6: Final answer
    x = 124,459.80

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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.