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Finding the Fourth Proportional to 140,834.39, 194,245.50 and 97,813.93

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Solution

The fourth proportional to 140,834.39, 194,245.50 and 97,813.93 is: 134,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,834.39 : 194,245.50 = 97,813.93 : x
  2. Step 2: Convert to fraction form
    140,834.39/194,245.50 = 97,813.93/x
  3. Step 3: Cross multiply
    140,834.39x = 194,245.50 × 97,813.93
  4. Step 4: Simplify right side
    140,834.39x = 18,999,915,739.82
  5. Step 5: Solve for x
    x = 18,999,915,739.82/140,834.39
  6. Step 6: Final answer
    x = 134,909.63

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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.