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Finding the Fourth Proportional to 231,952.68, 320,275.62 and 178,152.48

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Solution

The fourth proportional to 231,952.68, 320,275.62 and 178,152.48 is: 245,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,952.68 : 320,275.62 = 178,152.48 : x
  2. Step 2: Convert to fraction form
    231,952.68/320,275.62 = 178,152.48/x
  3. Step 3: Cross multiply
    231,952.68x = 320,275.62 × 178,152.48
  4. Step 4: Simplify right side
    231,952.68x = 57,057,895,986.54
  5. Step 5: Solve for x
    x = 57,057,895,986.54/231,952.68
  6. Step 6: Final answer
    x = 245,989.38

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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.