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Finding the Fourth Proportional to 133,337.94, 200,007.09 and 54,452.16

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Solution

The fourth proportional to 133,337.94, 200,007.09 and 54,452.16 is: 81,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,337.94 : 200,007.09 = 54,452.16 : x
  2. Step 2: Convert to fraction form
    133,337.94/200,007.09 = 54,452.16/x
  3. Step 3: Cross multiply
    133,337.94x = 200,007.09 × 54,452.16
  4. Step 4: Simplify right side
    133,337.94x = 10,890,818,065.81
  5. Step 5: Solve for x
    x = 10,890,818,065.81/133,337.94
  6. Step 6: Final answer
    x = 81,678.31

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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.