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Finding the Fourth Proportional to 231,304.50, 346,780.94 and 160,037.69

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Solution

The fourth proportional to 231,304.50, 346,780.94 and 160,037.69 is: 239,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,304.50 : 346,780.94 = 160,037.69 : x
  2. Step 2: Convert to fraction form
    231,304.50/346,780.94 = 160,037.69/x
  3. Step 3: Cross multiply
    231,304.50x = 346,780.94 × 160,037.69
  4. Step 4: Simplify right side
    231,304.50x = 55,498,018,039.54
  5. Step 5: Solve for x
    x = 55,498,018,039.54/231,304.50
  6. Step 6: Final answer
    x = 239,934.88

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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.