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Finding the Fourth Proportional to 292,769.28, 404,023.20 and 158,633.28

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Solution

The fourth proportional to 292,769.28, 404,023.20 and 158,633.28 is: 218,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,769.28 : 404,023.20 = 158,633.28 : x
  2. Step 2: Convert to fraction form
    292,769.28/404,023.20 = 158,633.28/x
  3. Step 3: Cross multiply
    292,769.28x = 404,023.20 × 158,633.28
  4. Step 4: Simplify right side
    292,769.28x = 64,091,525,412.10
  5. Step 5: Solve for x
    x = 64,091,525,412.10/292,769.28
  6. Step 6: Final answer
    x = 218,914.79

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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.