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Finding the Fourth Proportional to 460,138.01, 690,123.92 and 160,704.18

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Solution

The fourth proportional to 460,138.01, 690,123.92 and 160,704.18 is: 241,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,138.01 : 690,123.92 = 160,704.18 : x
  2. Step 2: Convert to fraction form
    460,138.01/690,123.92 = 160,704.18/x
  3. Step 3: Cross multiply
    460,138.01x = 690,123.92 × 160,704.18
  4. Step 4: Simplify right side
    460,138.01x = 110,905,797,858.47
  5. Step 5: Solve for x
    x = 110,905,797,858.47/460,138.01
  6. Step 6: Final answer
    x = 241,027.25

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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.