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Finding the Fourth Proportional to 201,638.80, 302,443.62 and 96,429.52

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Solution

The fourth proportional to 201,638.80, 302,443.62 and 96,429.52 is: 144,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.80 : 302,443.62 = 96,429.52 : x
  2. Step 2: Convert to fraction form
    201,638.80/302,443.62 = 96,429.52/x
  3. Step 3: Cross multiply
    201,638.80x = 302,443.62 × 96,429.52
  4. Step 4: Simplify right side
    201,638.80x = 29,164,493,103.66
  5. Step 5: Solve for x
    x = 29,164,493,103.66/201,638.80
  6. Step 6: Final answer
    x = 144,637.31

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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.