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Finding the Fourth Proportional to 193,208.80, 289,813.20 and 137,221.60

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Solution

The fourth proportional to 193,208.80, 289,813.20 and 137,221.60 is: 205,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,208.80 : 289,813.20 = 137,221.60 : x
  2. Step 2: Convert to fraction form
    193,208.80/289,813.20 = 137,221.60/x
  3. Step 3: Cross multiply
    193,208.80x = 289,813.20 × 137,221.60
  4. Step 4: Simplify right side
    193,208.80x = 39,768,631,005.12
  5. Step 5: Solve for x
    x = 39,768,631,005.12/193,208.80
  6. Step 6: Final answer
    x = 205,832.40

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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.