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Finding the Fourth Proportional to 204,047.60, 306,071.40 and 190,050.80

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Solution

The fourth proportional to 204,047.60, 306,071.40 and 190,050.80 is: 285,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047.60 : 306,071.40 = 190,050.80 : x
  2. Step 2: Convert to fraction form
    204,047.60/306,071.40 = 190,050.80/x
  3. Step 3: Cross multiply
    204,047.60x = 306,071.40 × 190,050.80
  4. Step 4: Simplify right side
    204,047.60x = 58,169,114,427.12
  5. Step 5: Solve for x
    x = 58,169,114,427.12/204,047.60
  6. Step 6: Final answer
    x = 285,076.20

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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.