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Finding the Fourth Proportional to 235,260.24, 352,692 and 102,040.20

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Solution

The fourth proportional to 235,260.24, 352,692 and 102,040.20 is: 152,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,260.24 : 352,692 = 102,040.20 : x
  2. Step 2: Convert to fraction form
    235,260.24/352,692 = 102,040.20/x
  3. Step 3: Cross multiply
    235,260.24x = 352,692 × 102,040.20
  4. Step 4: Simplify right side
    235,260.24x = 35,988,762,218.40
  5. Step 5: Solve for x
    x = 35,988,762,218.40/235,260.24
  6. Step 6: Final answer
    x = 152,974.26

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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.