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Finding the Fourth Proportional to 149,046.52, 205,684.05 and 85,384.57

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Solution

The fourth proportional to 149,046.52, 205,684.05 and 85,384.57 is: 117,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.52 : 205,684.05 = 85,384.57 : x
  2. Step 2: Convert to fraction form
    149,046.52/205,684.05 = 85,384.57/x
  3. Step 3: Cross multiply
    149,046.52x = 205,684.05 × 85,384.57
  4. Step 4: Simplify right side
    149,046.52x = 17,562,244,165.11
  5. Step 5: Solve for x
    x = 17,562,244,165.11/149,046.52
  6. Step 6: Final answer
    x = 117,830.62

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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.