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Finding the Fourth Proportional to 133,821.80, 200,502.30 and 113,085.80

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Solution

The fourth proportional to 133,821.80, 200,502.30 and 113,085.80 is: 169,434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.80 : 200,502.30 = 113,085.80 : x
  2. Step 2: Convert to fraction form
    133,821.80/200,502.30 = 113,085.80/x
  3. Step 3: Cross multiply
    133,821.80x = 200,502.30 × 113,085.80
  4. Step 4: Simplify right side
    133,821.80x = 22,673,962,997.34
  5. Step 5: Solve for x
    x = 22,673,962,997.34/133,821.80
  6. Step 6: Final answer
    x = 169,434.00

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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.