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Finding the Fourth Proportional to 133,802.80, 200,534.10 and 54,827.80

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Solution

The fourth proportional to 133,802.80, 200,534.10 and 54,827.80 is: 82,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802.80 : 200,534.10 = 54,827.80 : x
  2. Step 2: Convert to fraction form
    133,802.80/200,534.10 = 54,827.80/x
  3. Step 3: Cross multiply
    133,802.80x = 200,534.10 × 54,827.80
  4. Step 4: Simplify right side
    133,802.80x = 10,994,843,527.98
  5. Step 5: Solve for x
    x = 10,994,843,527.98/133,802.80
  6. Step 6: Final answer
    x = 82,172.00

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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.