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Finding the Fourth Proportional to 193,703.20, 289,863.60 and 177,114.40

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Solution

The fourth proportional to 193,703.20, 289,863.60 and 177,114.40 is: 265,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,703.20 : 289,863.60 = 177,114.40 : x
  2. Step 2: Convert to fraction form
    193,703.20/289,863.60 = 177,114.40/x
  3. Step 3: Cross multiply
    193,703.20x = 289,863.60 × 177,114.40
  4. Step 4: Simplify right side
    193,703.20x = 51,339,017,595.84
  5. Step 5: Solve for x
    x = 51,339,017,595.84/193,703.20
  6. Step 6: Final answer
    x = 265,039.59

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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.