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Finding the Fourth Proportional to 201,862.60, 302,648.10 and 113,143.30

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Solution

The fourth proportional to 201,862.60, 302,648.10 and 113,143.30 is: 169,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.60 : 302,648.10 = 113,143.30 : x
  2. Step 2: Convert to fraction form
    201,862.60/302,648.10 = 113,143.30/x
  3. Step 3: Cross multiply
    201,862.60x = 302,648.10 × 113,143.30
  4. Step 4: Simplify right side
    201,862.60x = 34,242,604,772.73
  5. Step 5: Solve for x
    x = 34,242,604,772.73/201,862.60
  6. Step 6: Final answer
    x = 169,633.23

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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.