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Finding the Fourth Proportional to 163,084, 225,056.32 and 95,147.68

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Solution

The fourth proportional to 163,084, 225,056.32 and 95,147.68 is: 131,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,084 : 225,056.32 = 95,147.68 : x
  2. Step 2: Convert to fraction form
    163,084/225,056.32 = 95,147.68/x
  3. Step 3: Cross multiply
    163,084x = 225,056.32 × 95,147.68
  4. Step 4: Simplify right side
    163,084x = 21,413,586,717.34
  5. Step 5: Solve for x
    x = 21,413,586,717.34/163,084
  6. Step 6: Final answer
    x = 131,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.