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Finding the Fourth Proportional to 235,998.80, 353,867 and 78,141.14

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Solution

The fourth proportional to 235,998.80, 353,867 and 78,141.14 is: 117,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,998.80 : 353,867 = 78,141.14 : x
  2. Step 2: Convert to fraction form
    235,998.80/353,867 = 78,141.14/x
  3. Step 3: Cross multiply
    235,998.80x = 353,867 × 78,141.14
  4. Step 4: Simplify right side
    235,998.80x = 27,651,570,788.38
  5. Step 5: Solve for x
    x = 27,651,570,788.38/235,998.80
  6. Step 6: Final answer
    x = 117,168.27

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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.