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Finding the Fourth Proportional to 235,141.20, 352,193.40 and 164,638.80

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Solution

The fourth proportional to 235,141.20, 352,193.40 and 164,638.80 is: 246,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,141.20 : 352,193.40 = 164,638.80 : x
  2. Step 2: Convert to fraction form
    235,141.20/352,193.40 = 164,638.80/x
  3. Step 3: Cross multiply
    235,141.20x = 352,193.40 × 164,638.80
  4. Step 4: Simplify right side
    235,141.20x = 57,984,698,743.92
  5. Step 5: Solve for x
    x = 57,984,698,743.92/235,141.20
  6. Step 6: Final answer
    x = 246,595.23

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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.