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Finding the Fourth Proportional to 133,105.84, 183,690.68 and 75,753.81

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Solution

The fourth proportional to 133,105.84, 183,690.68 and 75,753.81 is: 104,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105.84 : 183,690.68 = 75,753.81 : x
  2. Step 2: Convert to fraction form
    133,105.84/183,690.68 = 75,753.81/x
  3. Step 3: Cross multiply
    133,105.84x = 183,690.68 × 75,753.81
  4. Step 4: Simplify right side
    133,105.84x = 13,915,268,492.72
  5. Step 5: Solve for x
    x = 13,915,268,492.72/133,105.84
  6. Step 6: Final answer
    x = 104,542.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.