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Finding the Fourth Proportional to 196,019.38, 270,465.02 and 115,417.50

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Solution

The fourth proportional to 196,019.38, 270,465.02 and 115,417.50 is: 159,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,019.38 : 270,465.02 = 115,417.50 : x
  2. Step 2: Convert to fraction form
    196,019.38/270,465.02 = 115,417.50/x
  3. Step 3: Cross multiply
    196,019.38x = 270,465.02 × 115,417.50
  4. Step 4: Simplify right side
    196,019.38x = 31,216,396,445.85
  5. Step 5: Solve for x
    x = 31,216,396,445.85/196,019.38
  6. Step 6: Final answer
    x = 159,251.58

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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.