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Finding the Fourth Proportional to 154,102.98, 230,780.80 and 106,584.71

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Solution

The fourth proportional to 154,102.98, 230,780.80 and 106,584.71 is: 159,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102.98 : 230,780.80 = 106,584.71 : x
  2. Step 2: Convert to fraction form
    154,102.98/230,780.80 = 106,584.71/x
  3. Step 3: Cross multiply
    154,102.98x = 230,780.80 × 106,584.71
  4. Step 4: Simplify right side
    154,102.98x = 24,597,704,319.50
  5. Step 5: Solve for x
    x = 24,597,704,319.50/154,102.98
  6. Step 6: Final answer
    x = 159,618.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.