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Finding the Fourth Proportional to 219,829.38, 303,347.34 and 129,188.76

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Solution

The fourth proportional to 219,829.38, 303,347.34 and 129,188.76 is: 178,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,829.38 : 303,347.34 = 129,188.76 : x
  2. Step 2: Convert to fraction form
    219,829.38/303,347.34 = 129,188.76/x
  3. Step 3: Cross multiply
    219,829.38x = 303,347.34 × 129,188.76
  4. Step 4: Simplify right side
    219,829.38x = 39,189,066,703.90
  5. Step 5: Solve for x
    x = 39,189,066,703.90/219,829.38
  6. Step 6: Final answer
    x = 178,270.38

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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.