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Finding the Fourth Proportional to 200,503.80, 300,512.70 and 116,101.80

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Solution

The fourth proportional to 200,503.80, 300,512.70 and 116,101.80 is: 174,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.80 : 300,512.70 = 116,101.80 : x
  2. Step 2: Convert to fraction form
    200,503.80/300,512.70 = 116,101.80/x
  3. Step 3: Cross multiply
    200,503.80x = 300,512.70 × 116,101.80
  4. Step 4: Simplify right side
    200,503.80x = 34,890,065,392.86
  5. Step 5: Solve for x
    x = 34,890,065,392.86/200,503.80
  6. Step 6: Final answer
    x = 174,011.99

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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.