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Finding the Fourth Proportional to 200,768.80, 301,105.20 and 116,346.40

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Solution

The fourth proportional to 200,768.80, 301,105.20 and 116,346.40 is: 174,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.80 : 301,105.20 = 116,346.40 : x
  2. Step 2: Convert to fraction form
    200,768.80/301,105.20 = 116,346.40/x
  3. Step 3: Cross multiply
    200,768.80x = 301,105.20 × 116,346.40
  4. Step 4: Simplify right side
    200,768.80x = 35,032,506,041.28
  5. Step 5: Solve for x
    x = 35,032,506,041.28/200,768.80
  6. Step 6: Final answer
    x = 174,491.78

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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.