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Finding the Fourth Proportional to 231,460.76, 319,344.96 and 150,859.04

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Solution

The fourth proportional to 231,460.76, 319,344.96 and 150,859.04 is: 208,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,460.76 : 319,344.96 = 150,859.04 : x
  2. Step 2: Convert to fraction form
    231,460.76/319,344.96 = 150,859.04/x
  3. Step 3: Cross multiply
    231,460.76x = 319,344.96 × 150,859.04
  4. Step 4: Simplify right side
    231,460.76x = 48,176,074,094.44
  5. Step 5: Solve for x
    x = 48,176,074,094.44/231,460.76
  6. Step 6: Final answer
    x = 208,139.27

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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.