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Finding the Fourth Proportional to 148,516.92, 204,934.42 and 84,858.84

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Solution

The fourth proportional to 148,516.92, 204,934.42 and 84,858.84 is: 117,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,516.92 : 204,934.42 = 84,858.84 : x
  2. Step 2: Convert to fraction form
    148,516.92/204,934.42 = 84,858.84/x
  3. Step 3: Cross multiply
    148,516.92x = 204,934.42 × 84,858.84
  4. Step 4: Simplify right side
    148,516.92x = 17,390,497,157.27
  5. Step 5: Solve for x
    x = 17,390,497,157.27/148,516.92
  6. Step 6: Final answer
    x = 117,094.38

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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.