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Finding the Fourth Proportional to 196,041.38, 270,495.36 and 115,439.49

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Solution

The fourth proportional to 196,041.38, 270,495.36 and 115,439.49 is: 159,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,041.38 : 270,495.36 = 115,439.49 : x
  2. Step 2: Convert to fraction form
    196,041.38/270,495.36 = 115,439.49/x
  3. Step 3: Cross multiply
    196,041.38x = 270,495.36 × 115,439.49
  4. Step 4: Simplify right side
    196,041.38x = 31,225,846,405.77
  5. Step 5: Solve for x
    x = 31,225,846,405.77/196,041.38
  6. Step 6: Final answer
    x = 159,281.92

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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.