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Finding the Fourth Proportional to 375,496.97, 563,235.74 and 126,178.97

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Solution

The fourth proportional to 375,496.97, 563,235.74 and 126,178.97 is: 189,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,496.97 : 563,235.74 = 126,178.97 : x
  2. Step 2: Convert to fraction form
    375,496.97/563,235.74 = 126,178.97/x
  3. Step 3: Cross multiply
    375,496.97x = 563,235.74 × 126,178.97
  4. Step 4: Simplify right side
    375,496.97x = 71,068,504,909.49
  5. Step 5: Solve for x
    x = 71,068,504,909.49/375,496.97
  6. Step 6: Final answer
    x = 189,265.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.