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Finding the Fourth Proportional to 295,027.80, 407,133.99 and 165,956.54

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Solution

The fourth proportional to 295,027.80, 407,133.99 and 165,956.54 is: 229,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,027.80 : 407,133.99 = 165,956.54 : x
  2. Step 2: Convert to fraction form
    295,027.80/407,133.99 = 165,956.54/x
  3. Step 3: Cross multiply
    295,027.80x = 407,133.99 × 165,956.54
  4. Step 4: Simplify right side
    295,027.80x = 67,566,546,261.12
  5. Step 5: Solve for x
    x = 67,566,546,261.12/295,027.80
  6. Step 6: Final answer
    x = 229,017.56

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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.