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Finding the Fourth Proportional to 133,920.71, 200,892.86 and 49,681.79

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Solution

The fourth proportional to 133,920.71, 200,892.86 and 49,681.79 is: 74,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920.71 : 200,892.86 = 49,681.79 : x
  2. Step 2: Convert to fraction form
    133,920.71/200,892.86 = 49,681.79/x
  3. Step 3: Cross multiply
    133,920.71x = 200,892.86 × 49,681.79
  4. Step 4: Simplify right side
    133,920.71x = 9,980,715,630.15
  5. Step 5: Solve for x
    x = 9,980,715,630.15/133,920.71
  6. Step 6: Final answer
    x = 74,527.05

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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.