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Finding the Fourth Proportional to 133,816, 200,801.76 and 59,944

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Solution

The fourth proportional to 133,816, 200,801.76 and 59,944 is: 89,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816 : 200,801.76 = 59,944 : x
  2. Step 2: Convert to fraction form
    133,816/200,801.76 = 59,944/x
  3. Step 3: Cross multiply
    133,816x = 200,801.76 × 59,944
  4. Step 4: Simplify right side
    133,816x = 12,036,860,701.44
  5. Step 5: Solve for x
    x = 12,036,860,701.44/133,816
  6. Step 6: Final answer
    x = 89,950.83

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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.