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Finding the Fourth Proportional to 133,495.58, 200,178.56 and 50,396.06

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Solution

The fourth proportional to 133,495.58, 200,178.56 and 50,396.06 is: 75,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,495.58 : 200,178.56 = 50,396.06 : x
  2. Step 2: Convert to fraction form
    133,495.58/200,178.56 = 50,396.06/x
  3. Step 3: Cross multiply
    133,495.58x = 200,178.56 × 50,396.06
  4. Step 4: Simplify right side
    133,495.58x = 10,088,210,720.47
  5. Step 5: Solve for x
    x = 10,088,210,720.47/133,495.58
  6. Step 6: Final answer
    x = 75,569.62

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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.