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Finding the Fourth Proportional to 204,477.60, 306,716.40 and 64,250.40

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Solution

The fourth proportional to 204,477.60, 306,716.40 and 64,250.40 is: 96,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,477.60 : 306,716.40 = 64,250.40 : x
  2. Step 2: Convert to fraction form
    204,477.60/306,716.40 = 64,250.40/x
  3. Step 3: Cross multiply
    204,477.60x = 306,716.40 × 64,250.40
  4. Step 4: Simplify right side
    204,477.60x = 19,706,651,386.56
  5. Step 5: Solve for x
    x = 19,706,651,386.56/204,477.60
  6. Step 6: Final answer
    x = 96,375.60

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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.