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Finding the Fourth Proportional to 235,252.09, 352,679.76 and 102,032

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Solution

The fourth proportional to 235,252.09, 352,679.76 and 102,032 is: 152,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,252.09 : 352,679.76 = 102,032 : x
  2. Step 2: Convert to fraction form
    235,252.09/352,679.76 = 102,032/x
  3. Step 3: Cross multiply
    235,252.09x = 352,679.76 × 102,032
  4. Step 4: Simplify right side
    235,252.09x = 35,984,621,272.32
  5. Step 5: Solve for x
    x = 35,984,621,272.32/235,252.09
  6. Step 6: Final answer
    x = 152,961.96

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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.