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Finding the Fourth Proportional to 174,293.82, 261,474.75 and 55,956.06

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Solution

The fourth proportional to 174,293.82, 261,474.75 and 55,956.06 is: 83,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,293.82 : 261,474.75 = 55,956.06 : x
  2. Step 2: Convert to fraction form
    174,293.82/261,474.75 = 55,956.06/x
  3. Step 3: Cross multiply
    174,293.82x = 261,474.75 × 55,956.06
  4. Step 4: Simplify right side
    174,293.82x = 14,631,096,799.49
  5. Step 5: Solve for x
    x = 14,631,096,799.49/174,293.82
  6. Step 6: Final answer
    x = 83,945.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.