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Finding the Fourth Proportional to 235,441.80, 353,357.10 and 109,276.20

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Solution

The fourth proportional to 235,441.80, 353,357.10 and 109,276.20 is: 164,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,441.80 : 353,357.10 = 109,276.20 : x
  2. Step 2: Convert to fraction form
    235,441.80/353,357.10 = 109,276.20/x
  3. Step 3: Cross multiply
    235,441.80x = 353,357.10 × 109,276.20
  4. Step 4: Simplify right side
    235,441.80x = 38,613,521,131.02
  5. Step 5: Solve for x
    x = 38,613,521,131.02/235,441.80
  6. Step 6: Final answer
    x = 164,004.53

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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.