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Finding the Fourth Proportional to 333,451.56, 500,178.06 and 84,133.56

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Solution

The fourth proportional to 333,451.56, 500,178.06 and 84,133.56 is: 126,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,451.56 : 500,178.06 = 84,133.56 : x
  2. Step 2: Convert to fraction form
    333,451.56/500,178.06 = 84,133.56/x
  3. Step 3: Cross multiply
    333,451.56x = 500,178.06 × 84,133.56
  4. Step 4: Simplify right side
    333,451.56x = 42,081,760,821.69
  5. Step 5: Solve for x
    x = 42,081,760,821.69/333,451.56
  6. Step 6: Final answer
    x = 126,200.52

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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.