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Finding the Fourth Proportional to 241,317.42, 361,976.22 and 83,459.76

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Solution

The fourth proportional to 241,317.42, 361,976.22 and 83,459.76 is: 125,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,317.42 : 361,976.22 = 83,459.76 : x
  2. Step 2: Convert to fraction form
    241,317.42/361,976.22 = 83,459.76/x
  3. Step 3: Cross multiply
    241,317.42x = 361,976.22 × 83,459.76
  4. Step 4: Simplify right side
    241,317.42x = 30,210,448,446.91
  5. Step 5: Solve for x
    x = 30,210,448,446.91/241,317.42
  6. Step 6: Final answer
    x = 125,189.67

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Why These Related Problems?

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