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Finding the Fourth Proportional to 220,034, 303,647.28 and 119,432

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Solution

The fourth proportional to 220,034, 303,647.28 and 119,432 is: 164,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,034 : 303,647.28 = 119,432 : x
  2. Step 2: Convert to fraction form
    220,034/303,647.28 = 119,432/x
  3. Step 3: Cross multiply
    220,034x = 303,647.28 × 119,432
  4. Step 4: Simplify right side
    220,034x = 36,265,201,944.96
  5. Step 5: Solve for x
    x = 36,265,201,944.96/220,034
  6. Step 6: Final answer
    x = 164,816.36

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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.