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Finding the Fourth Proportional to 235,125.60, 352,469.70 and 164,048.10

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Solution

The fourth proportional to 235,125.60, 352,469.70 and 164,048.10 is: 245,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,125.60 : 352,469.70 = 164,048.10 : x
  2. Step 2: Convert to fraction form
    235,125.60/352,469.70 = 164,048.10/x
  3. Step 3: Cross multiply
    235,125.60x = 352,469.70 × 164,048.10
  4. Step 4: Simplify right side
    235,125.60x = 57,821,984,592.57
  5. Step 5: Solve for x
    x = 57,821,984,592.57/235,125.60
  6. Step 6: Final answer
    x = 245,919.56

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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.