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Finding the Fourth Proportional to 149,097.34, 205,839.17 and 98,257.79

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Solution

The fourth proportional to 149,097.34, 205,839.17 and 98,257.79 is: 135,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.34 : 205,839.17 = 98,257.79 : x
  2. Step 2: Convert to fraction form
    149,097.34/205,839.17 = 98,257.79/x
  3. Step 3: Cross multiply
    149,097.34x = 205,839.17 × 98,257.79
  4. Step 4: Simplify right side
    149,097.34x = 20,225,302,884.11
  5. Step 5: Solve for x
    x = 20,225,302,884.11/149,097.34
  6. Step 6: Final answer
    x = 135,651.67

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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.