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Finding the Fourth Proportional to 133,854.40, 200,781.60 and 102,361.60

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Solution

The fourth proportional to 133,854.40, 200,781.60 and 102,361.60 is: 153,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854.40 : 200,781.60 = 102,361.60 : x
  2. Step 2: Convert to fraction form
    133,854.40/200,781.60 = 102,361.60/x
  3. Step 3: Cross multiply
    133,854.40x = 200,781.60 × 102,361.60
  4. Step 4: Simplify right side
    133,854.40x = 20,552,325,826.56
  5. Step 5: Solve for x
    x = 20,552,325,826.56/133,854.40
  6. Step 6: Final answer
    x = 153,542.40

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1.5x scale

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.