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Finding the Fourth Proportional to 199,574.38, 275,412.64 and 136,023.20

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Solution

The fourth proportional to 199,574.38, 275,412.64 and 136,023.20 is: 187,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574.38 : 275,412.64 = 136,023.20 : x
  2. Step 2: Convert to fraction form
    199,574.38/275,412.64 = 136,023.20/x
  3. Step 3: Cross multiply
    199,574.38x = 275,412.64 × 136,023.20
  4. Step 4: Simplify right side
    199,574.38x = 37,462,507,236.18
  5. Step 5: Solve for x
    x = 37,462,507,236.18/199,574.38
  6. Step 6: Final answer
    x = 187,712.01

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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.