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Finding the Fourth Proportional to 263,575, 363,732.96 and 142,716.25

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Solution

The fourth proportional to 263,575, 363,732.96 and 142,716.25 is: 196,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,575 : 363,732.96 = 142,716.25 : x
  2. Step 2: Convert to fraction form
    263,575/363,732.96 = 142,716.25/x
  3. Step 3: Cross multiply
    263,575x = 363,732.96 × 142,716.25
  4. Step 4: Simplify right side
    263,575x = 51,910,604,052.60
  5. Step 5: Solve for x
    x = 51,910,604,052.60/263,575
  6. Step 6: Final answer
    x = 196,948.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.