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Finding the Fourth Proportional to 174,893.60, 261,951.60 and 135,322.40

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Solution

The fourth proportional to 174,893.60, 261,951.60 and 135,322.40 is: 202,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893.60 : 261,951.60 = 135,322.40 : x
  2. Step 2: Convert to fraction form
    174,893.60/261,951.60 = 135,322.40/x
  3. Step 3: Cross multiply
    174,893.60x = 261,951.60 × 135,322.40
  4. Step 4: Simplify right side
    174,893.60x = 35,447,919,195.84
  5. Step 5: Solve for x
    x = 35,447,919,195.84/174,893.60
  6. Step 6: Final answer
    x = 202,682.77

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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.