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Finding the Fourth Proportional to 130,821, 196,221.42 and 74,484.24

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Solution

The fourth proportional to 130,821, 196,221.42 and 74,484.24 is: 111,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,821 : 196,221.42 = 74,484.24 : x
  2. Step 2: Convert to fraction form
    130,821/196,221.42 = 74,484.24/x
  3. Step 3: Cross multiply
    130,821x = 196,221.42 × 74,484.24
  4. Step 4: Simplify right side
    130,821x = 14,615,403,340.42
  5. Step 5: Solve for x
    x = 14,615,403,340.42/130,821
  6. Step 6: Final answer
    x = 111,720.62

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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.