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Finding the Fourth Proportional to 219,983.45, 303,577.16 and 119,381.45

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Solution

The fourth proportional to 219,983.45, 303,577.16 and 119,381.45 is: 164,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,983.45 : 303,577.16 = 119,381.45 : x
  2. Step 2: Convert to fraction form
    219,983.45/303,577.16 = 119,381.45/x
  3. Step 3: Cross multiply
    219,983.45x = 303,577.16 × 119,381.45
  4. Step 4: Simplify right side
    219,983.45x = 36,241,479,432.89
  5. Step 5: Solve for x
    x = 36,241,479,432.89/219,983.45
  6. Step 6: Final answer
    x = 164,746.39

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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.