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Finding the Fourth Proportional to 204,039.40, 306,059.10 and 141,053.80

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Solution

The fourth proportional to 204,039.40, 306,059.10 and 141,053.80 is: 211,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039.40 : 306,059.10 = 141,053.80 : x
  2. Step 2: Convert to fraction form
    204,039.40/306,059.10 = 141,053.80/x
  3. Step 3: Cross multiply
    204,039.40x = 306,059.10 × 141,053.80
  4. Step 4: Simplify right side
    204,039.40x = 43,170,799,079.58
  5. Step 5: Solve for x
    x = 43,170,799,079.58/204,039.40
  6. Step 6: Final answer
    x = 211,580.70

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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.