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Finding the Fourth Proportional to 223,158.38, 307,986.64 and 138,288.20

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Solution

The fourth proportional to 223,158.38, 307,986.64 and 138,288.20 is: 190,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,158.38 : 307,986.64 = 138,288.20 : x
  2. Step 2: Convert to fraction form
    223,158.38/307,986.64 = 138,288.20/x
  3. Step 3: Cross multiply
    223,158.38x = 307,986.64 × 138,288.20
  4. Step 4: Simplify right side
    223,158.38x = 42,590,916,183.99
  5. Step 5: Solve for x
    x = 42,590,916,183.99/223,158.38
  6. Step 6: Final answer
    x = 190,855.11

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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.