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Finding the Fourth Proportional to 193,643.64, 290,514.74 and 113,749.16

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Solution

The fourth proportional to 193,643.64, 290,514.74 and 113,749.16 is: 170,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.64 : 290,514.74 = 113,749.16 : x
  2. Step 2: Convert to fraction form
    193,643.64/290,514.74 = 113,749.16/x
  3. Step 3: Cross multiply
    193,643.64x = 290,514.74 × 113,749.16
  4. Step 4: Simplify right side
    193,643.64x = 33,045,805,621.30
  5. Step 5: Solve for x
    x = 33,045,805,621.30/193,643.64
  6. Step 6: Final answer
    x = 170,652.68

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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.