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Finding the Fourth Proportional to 235,159.20, 352,738.80 and 219,412.80

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Solution

The fourth proportional to 235,159.20, 352,738.80 and 219,412.80 is: 329,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,159.20 : 352,738.80 = 219,412.80 : x
  2. Step 2: Convert to fraction form
    235,159.20/352,738.80 = 219,412.80/x
  3. Step 3: Cross multiply
    235,159.20x = 352,738.80 × 219,412.80
  4. Step 4: Simplify right side
    235,159.20x = 77,395,407,776.64
  5. Step 5: Solve for x
    x = 77,395,407,776.64/235,159.20
  6. Step 6: Final answer
    x = 329,119.20

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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.