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Finding the Fourth Proportional to 270,254.82, 372,956.16 and 157,077.54

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Solution

The fourth proportional to 270,254.82, 372,956.16 and 157,077.54 is: 216,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254.82 : 372,956.16 = 157,077.54 : x
  2. Step 2: Convert to fraction form
    270,254.82/372,956.16 = 157,077.54/x
  3. Step 3: Cross multiply
    270,254.82x = 372,956.16 × 157,077.54
  4. Step 4: Simplify right side
    270,254.82x = 58,583,036,140.65
  5. Step 5: Solve for x
    x = 58,583,036,140.65/270,254.82
  6. Step 6: Final answer
    x = 216,769.63

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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.