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Finding the Fourth Proportional to 219,578.96, 303,020.16 and 118,976.96

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Solution

The fourth proportional to 219,578.96, 303,020.16 and 118,976.96 is: 164,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,578.96 : 303,020.16 = 118,976.96 : x
  2. Step 2: Convert to fraction form
    219,578.96/303,020.16 = 118,976.96/x
  3. Step 3: Cross multiply
    219,578.96x = 303,020.16 × 118,976.96
  4. Step 4: Simplify right side
    219,578.96x = 36,052,417,455.51
  5. Step 5: Solve for x
    x = 36,052,417,455.51/219,578.96
  6. Step 6: Final answer
    x = 164,188.85

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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.