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Finding the Fourth Proportional to 196,188.24, 270,748.68 and 115,619.16

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Solution

The fourth proportional to 196,188.24, 270,748.68 and 115,619.16 is: 159,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,188.24 : 270,748.68 = 115,619.16 : x
  2. Step 2: Convert to fraction form
    196,188.24/270,748.68 = 115,619.16/x
  3. Step 3: Cross multiply
    196,188.24x = 270,748.68 × 115,619.16
  4. Step 4: Simplify right side
    196,188.24x = 31,303,734,952.71
  5. Step 5: Solve for x
    x = 31,303,734,952.71/196,188.24
  6. Step 6: Final answer
    x = 159,559.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.