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Finding the Fourth Proportional to 242,563.60, 363,845.40 and 147,696.40

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Solution

The fourth proportional to 242,563.60, 363,845.40 and 147,696.40 is: 221,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.60 : 363,845.40 = 147,696.40 : x
  2. Step 2: Convert to fraction form
    242,563.60/363,845.40 = 147,696.40/x
  3. Step 3: Cross multiply
    242,563.60x = 363,845.40 × 147,696.40
  4. Step 4: Simplify right side
    242,563.60x = 53,738,655,736.56
  5. Step 5: Solve for x
    x = 53,738,655,736.56/242,563.60
  6. Step 6: Final answer
    x = 221,544.60

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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.