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Finding the Fourth Proportional to 133,833.54, 200,780.01 and 40,332.54

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Solution

The fourth proportional to 133,833.54, 200,780.01 and 40,332.54 is: 60,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,833.54 : 200,780.01 = 40,332.54 : x
  2. Step 2: Convert to fraction form
    133,833.54/200,780.01 = 40,332.54/x
  3. Step 3: Cross multiply
    133,833.54x = 200,780.01 × 40,332.54
  4. Step 4: Simplify right side
    133,833.54x = 8,097,967,784.53
  5. Step 5: Solve for x
    x = 8,097,967,784.53/133,833.54
  6. Step 6: Final answer
    x = 60,507.76

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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.