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Finding the Fourth Proportional to 130,815, 196,212.42 and 74,478.24

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Solution

The fourth proportional to 130,815, 196,212.42 and 74,478.24 is: 111,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 196,212.42 = 74,478.24 : x
  2. Step 2: Convert to fraction form
    130,815/196,212.42 = 74,478.24/x
  3. Step 3: Cross multiply
    130,815x = 196,212.42 × 74,478.24
  4. Step 4: Simplify right side
    130,815x = 14,613,555,707.74
  5. Step 5: Solve for x
    x = 14,613,555,707.74/130,815
  6. Step 6: Final answer
    x = 111,711.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.