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Finding the Fourth Proportional to 193,095.20, 289,642.80 and 168,519.20

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Solution

The fourth proportional to 193,095.20, 289,642.80 and 168,519.20 is: 252,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,095.20 : 289,642.80 = 168,519.20 : x
  2. Step 2: Convert to fraction form
    193,095.20/289,642.80 = 168,519.20/x
  3. Step 3: Cross multiply
    193,095.20x = 289,642.80 × 168,519.20
  4. Step 4: Simplify right side
    193,095.20x = 48,810,372,941.76
  5. Step 5: Solve for x
    x = 48,810,372,941.76/193,095.20
  6. Step 6: Final answer
    x = 252,778.80

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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.