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Finding the Fourth Proportional to 133,696.68, 200,334.06 and 49,340.76

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Solution

The fourth proportional to 133,696.68, 200,334.06 and 49,340.76 is: 73,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.68 : 200,334.06 = 49,340.76 : x
  2. Step 2: Convert to fraction form
    133,696.68/200,334.06 = 49,340.76/x
  3. Step 3: Cross multiply
    133,696.68x = 200,334.06 × 49,340.76
  4. Step 4: Simplify right side
    133,696.68x = 9,884,634,774.29
  5. Step 5: Solve for x
    x = 9,884,634,774.29/133,696.68
  6. Step 6: Final answer
    x = 73,933.29

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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.