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Finding the Fourth Proportional to 149,141.24, 205,819.80 and 85,491.08

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Solution

The fourth proportional to 149,141.24, 205,819.80 and 85,491.08 is: 117,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,141.24 : 205,819.80 = 85,491.08 : x
  2. Step 2: Convert to fraction form
    149,141.24/205,819.80 = 85,491.08/x
  3. Step 3: Cross multiply
    149,141.24x = 205,819.80 × 85,491.08
  4. Step 4: Simplify right side
    149,141.24x = 17,595,756,987.38
  5. Step 5: Solve for x
    x = 17,595,756,987.38/149,141.24
  6. Step 6: Final answer
    x = 117,980.49

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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.