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Finding the Fourth Proportional to 204,053.60, 306,080.40 and 148,066.40

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Solution

The fourth proportional to 204,053.60, 306,080.40 and 148,066.40 is: 222,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,053.60 : 306,080.40 = 148,066.40 : x
  2. Step 2: Convert to fraction form
    204,053.60/306,080.40 = 148,066.40/x
  3. Step 3: Cross multiply
    204,053.60x = 306,080.40 × 148,066.40
  4. Step 4: Simplify right side
    204,053.60x = 45,320,222,938.56
  5. Step 5: Solve for x
    x = 45,320,222,938.56/204,053.60
  6. Step 6: Final answer
    x = 222,099.60

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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.