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Finding the Fourth Proportional to 196,062.96, 270,519.72 and 115,484.16

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Solution

The fourth proportional to 196,062.96, 270,519.72 and 115,484.16 is: 159,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,062.96 : 270,519.72 = 115,484.16 : x
  2. Step 2: Convert to fraction form
    196,062.96/270,519.72 = 115,484.16/x
  3. Step 3: Cross multiply
    196,062.96x = 270,519.72 × 115,484.16
  4. Step 4: Simplify right side
    196,062.96x = 31,240,742,627.64
  5. Step 5: Solve for x
    x = 31,240,742,627.64/196,062.96
  6. Step 6: Final answer
    x = 159,340.36

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Why These Related Problems?

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