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Finding the Fourth Proportional to 116,429.54, 174,893.09 and 83,362.10

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Solution

The fourth proportional to 116,429.54, 174,893.09 and 83,362.10 is: 125,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,429.54 : 174,893.09 = 83,362.10 : x
  2. Step 2: Convert to fraction form
    116,429.54/174,893.09 = 83,362.10/x
  3. Step 3: Cross multiply
    116,429.54x = 174,893.09 × 83,362.10
  4. Step 4: Simplify right side
    116,429.54x = 14,579,455,278.31
  5. Step 5: Solve for x
    x = 14,579,455,278.31/116,429.54
  6. Step 6: Final answer
    x = 125,221.27

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Why These Related Problems?

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