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Finding the Fourth Proportional to 177,402, 244,814.76 and 120,912.06

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Solution

The fourth proportional to 177,402, 244,814.76 and 120,912.06 is: 166,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402 : 244,814.76 = 120,912.06 : x
  2. Step 2: Convert to fraction form
    177,402/244,814.76 = 120,912.06/x
  3. Step 3: Cross multiply
    177,402x = 244,814.76 × 120,912.06
  4. Step 4: Simplify right side
    177,402x = 29,601,056,950.01
  5. Step 5: Solve for x
    x = 29,601,056,950.01/177,402
  6. Step 6: Final answer
    x = 166,858.64

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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.