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Finding the Fourth Proportional to 133,776.88, 200,693.47 and 49,537.73

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Solution

The fourth proportional to 133,776.88, 200,693.47 and 49,537.73 is: 74,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776.88 : 200,693.47 = 49,537.73 : x
  2. Step 2: Convert to fraction form
    133,776.88/200,693.47 = 49,537.73/x
  3. Step 3: Cross multiply
    133,776.88x = 200,693.47 × 49,537.73
  4. Step 4: Simplify right side
    133,776.88x = 9,941,898,929.62
  5. Step 5: Solve for x
    x = 9,941,898,929.62/133,776.88
  6. Step 6: Final answer
    x = 74,317.02

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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.