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Finding the Fourth Proportional to 235,262.08, 352,694.74 and 102,042

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Solution

The fourth proportional to 235,262.08, 352,694.74 and 102,042 is: 152,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,262.08 : 352,694.74 = 102,042 : x
  2. Step 2: Convert to fraction form
    235,262.08/352,694.74 = 102,042/x
  3. Step 3: Cross multiply
    235,262.08x = 352,694.74 × 102,042
  4. Step 4: Simplify right side
    235,262.08x = 35,989,676,659.08
  5. Step 5: Solve for x
    x = 35,989,676,659.08/235,262.08
  6. Step 6: Final answer
    x = 152,976.96

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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.