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Finding the Fourth Proportional to 193,689.12, 291,078 and 114,814.56

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Solution

The fourth proportional to 193,689.12, 291,078 and 114,814.56 is: 172,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689.12 : 291,078 = 114,814.56 : x
  2. Step 2: Convert to fraction form
    193,689.12/291,078 = 114,814.56/x
  3. Step 3: Cross multiply
    193,689.12x = 291,078 × 114,814.56
  4. Step 4: Simplify right side
    193,689.12x = 33,419,992,495.68
  5. Step 5: Solve for x
    x = 33,419,992,495.68/193,689.12
  6. Step 6: Final answer
    x = 172,544.50

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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.