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Finding the Fourth Proportional to 213,477.54, 320,204.76 and 108,293.76

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Solution

The fourth proportional to 213,477.54, 320,204.76 and 108,293.76 is: 162,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.54 : 320,204.76 = 108,293.76 : x
  2. Step 2: Convert to fraction form
    213,477.54/320,204.76 = 108,293.76/x
  3. Step 3: Cross multiply
    213,477.54x = 320,204.76 × 108,293.76
  4. Step 4: Simplify right side
    213,477.54x = 34,676,177,430.30
  5. Step 5: Solve for x
    x = 34,676,177,430.30/213,477.54
  6. Step 6: Final answer
    x = 162,434.78

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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.