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Finding the Fourth Proportional to 231,539.51, 319,218.22 and 166,954.70

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Solution

The fourth proportional to 231,539.51, 319,218.22 and 166,954.70 is: 230,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,539.51 : 319,218.22 = 166,954.70 : x
  2. Step 2: Convert to fraction form
    231,539.51/319,218.22 = 166,954.70/x
  3. Step 3: Cross multiply
    231,539.51x = 319,218.22 × 166,954.70
  4. Step 4: Simplify right side
    231,539.51x = 53,294,982,154.63
  5. Step 5: Solve for x
    x = 53,294,982,154.63/231,539.51
  6. Step 6: Final answer
    x = 230,176.62

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1.5x scale

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.