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Finding the Fourth Proportional to 116,230.10, 174,017.10 and 112,949.60

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Solution

The fourth proportional to 116,230.10, 174,017.10 and 112,949.60 is: 169,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,230.10 : 174,017.10 = 112,949.60 : x
  2. Step 2: Convert to fraction form
    116,230.10/174,017.10 = 112,949.60/x
  3. Step 3: Cross multiply
    116,230.10x = 174,017.10 × 112,949.60
  4. Step 4: Simplify right side
    116,230.10x = 19,655,161,838.16
  5. Step 5: Solve for x
    x = 19,655,161,838.16/116,230.10
  6. Step 6: Final answer
    x = 169,105.61

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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.