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Finding the Fourth Proportional to 230,296.67, 317,810.05 and 133,519.33

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Solution

The fourth proportional to 230,296.67, 317,810.05 and 133,519.33 is: 184,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,296.67 : 317,810.05 = 133,519.33 : x
  2. Step 2: Convert to fraction form
    230,296.67/317,810.05 = 133,519.33/x
  3. Step 3: Cross multiply
    230,296.67x = 317,810.05 × 133,519.33
  4. Step 4: Simplify right side
    230,296.67x = 42,433,783,354.22
  5. Step 5: Solve for x
    x = 42,433,783,354.22/230,296.67
  6. Step 6: Final answer
    x = 184,257.05

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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.