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Finding the Fourth Proportional to 164,005.20, 226,222.20 and 103,469.04

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Solution

The fourth proportional to 164,005.20, 226,222.20 and 103,469.04 is: 142,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,005.20 : 226,222.20 = 103,469.04 : x
  2. Step 2: Convert to fraction form
    164,005.20/226,222.20 = 103,469.04/x
  3. Step 3: Cross multiply
    164,005.20x = 226,222.20 × 103,469.04
  4. Step 4: Simplify right side
    164,005.20x = 23,406,993,860.69
  5. Step 5: Solve for x
    x = 23,406,993,860.69/164,005.20
  6. Step 6: Final answer
    x = 142,721.05

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1.5x scale

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.