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Finding the Fourth Proportional to 198,009.60, 296,771.40 and 134,829.60

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Solution

The fourth proportional to 198,009.60, 296,771.40 and 134,829.60 is: 202,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,009.60 : 296,771.40 = 134,829.60 : x
  2. Step 2: Convert to fraction form
    198,009.60/296,771.40 = 134,829.60/x
  3. Step 3: Cross multiply
    198,009.60x = 296,771.40 × 134,829.60
  4. Step 4: Simplify right side
    198,009.60x = 40,013,569,153.44
  5. Step 5: Solve for x
    x = 40,013,569,153.44/198,009.60
  6. Step 6: Final answer
    x = 202,078.94

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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.