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Finding the Fourth Proportional to 204,843.60, 307,265.40 and 120,862.80

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Solution

The fourth proportional to 204,843.60, 307,265.40 and 120,862.80 is: 181,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,843.60 : 307,265.40 = 120,862.80 : x
  2. Step 2: Convert to fraction form
    204,843.60/307,265.40 = 120,862.80/x
  3. Step 3: Cross multiply
    204,843.60x = 307,265.40 × 120,862.80
  4. Step 4: Simplify right side
    204,843.60x = 37,136,956,587.12
  5. Step 5: Solve for x
    x = 37,136,956,587.12/204,843.60
  6. Step 6: Final answer
    x = 181,294.20

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1.5x scale

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.