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Finding the Fourth Proportional to 241,275.74, 361,969.21 and 83,504.20

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Solution

The fourth proportional to 241,275.74, 361,969.21 and 83,504.20 is: 125,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,275.74 : 361,969.21 = 83,504.20 : x
  2. Step 2: Convert to fraction form
    241,275.74/361,969.21 = 83,504.20/x
  3. Step 3: Cross multiply
    241,275.74x = 361,969.21 × 83,504.20
  4. Step 4: Simplify right side
    241,275.74x = 30,225,948,505.14
  5. Step 5: Solve for x
    x = 30,225,948,505.14/241,275.74
  6. Step 6: Final answer
    x = 125,275.54

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1.5x scale

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.