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Finding the Fourth Proportional to 164,209.28, 226,632.32 and 119,036.80

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Solution

The fourth proportional to 164,209.28, 226,632.32 and 119,036.80 is: 164,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209.28 : 226,632.32 = 119,036.80 : x
  2. Step 2: Convert to fraction form
    164,209.28/226,632.32 = 119,036.80/x
  3. Step 3: Cross multiply
    164,209.28x = 226,632.32 × 119,036.80
  4. Step 4: Simplify right side
    164,209.28x = 26,977,586,149.38
  5. Step 5: Solve for x
    x = 26,977,586,149.38/164,209.28
  6. Step 6: Final answer
    x = 164,287.83

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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.