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Finding the Fourth Proportional to 152,469.66, 228,914 and 77,640.12

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Solution

The fourth proportional to 152,469.66, 228,914 and 77,640.12 is: 116,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,469.66 : 228,914 = 77,640.12 : x
  2. Step 2: Convert to fraction form
    152,469.66/228,914 = 77,640.12/x
  3. Step 3: Cross multiply
    152,469.66x = 228,914 × 77,640.12
  4. Step 4: Simplify right side
    152,469.66x = 17,772,910,429.68
  5. Step 5: Solve for x
    x = 17,772,910,429.68/152,469.66
  6. Step 6: Final answer
    x = 116,566.87

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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.