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Finding the Fourth Proportional to 102,590.93, 153,940.57 and 72,797.68

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Solution

The fourth proportional to 102,590.93, 153,940.57 and 72,797.68 is: 109,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.93 : 153,940.57 = 72,797.68 : x
  2. Step 2: Convert to fraction form
    102,590.93/153,940.57 = 72,797.68/x
  3. Step 3: Cross multiply
    102,590.93x = 153,940.57 × 72,797.68
  4. Step 4: Simplify right side
    102,590.93x = 11,206,516,353.88
  5. Step 5: Solve for x
    x = 11,206,516,353.88/102,590.93
  6. Step 6: Final answer
    x = 109,234.96

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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.