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Finding the Fourth Proportional to 219,675.78, 303,153.30 and 119,073.78

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Solution

The fourth proportional to 219,675.78, 303,153.30 and 119,073.78 is: 164,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,675.78 : 303,153.30 = 119,073.78 : x
  2. Step 2: Convert to fraction form
    219,675.78/303,153.30 = 119,073.78/x
  3. Step 3: Cross multiply
    219,675.78x = 303,153.30 × 119,073.78
  4. Step 4: Simplify right side
    219,675.78x = 36,097,609,350.47
  5. Step 5: Solve for x
    x = 36,097,609,350.47/219,675.78
  6. Step 6: Final answer
    x = 164,322.21

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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.