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Finding the Fourth Proportional to 133,546.57, 200,346.59 and 49,307.24

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Solution

The fourth proportional to 133,546.57, 200,346.59 and 49,307.24 is: 73,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546.57 : 200,346.59 = 49,307.24 : x
  2. Step 2: Convert to fraction form
    133,546.57/200,346.59 = 49,307.24/x
  3. Step 3: Cross multiply
    133,546.57x = 200,346.59 × 49,307.24
  4. Step 4: Simplify right side
    133,546.57x = 9,878,537,149.78
  5. Step 5: Solve for x
    x = 9,878,537,149.78/133,546.57
  6. Step 6: Final answer
    x = 73,970.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.