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Finding the Fourth Proportional to 263,854.40, 395,781.60 and 106,001.60

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Solution

The fourth proportional to 263,854.40, 395,781.60 and 106,001.60 is: 159,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,854.40 : 395,781.60 = 106,001.60 : x
  2. Step 2: Convert to fraction form
    263,854.40/395,781.60 = 106,001.60/x
  3. Step 3: Cross multiply
    263,854.40x = 395,781.60 × 106,001.60
  4. Step 4: Simplify right side
    263,854.40x = 41,953,482,850.56
  5. Step 5: Solve for x
    x = 41,953,482,850.56/263,854.40
  6. Step 6: Final answer
    x = 159,002.40

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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.