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Finding the Fourth Proportional to 174,729, 241,145.46 and 107,661

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Solution

The fourth proportional to 174,729, 241,145.46 and 107,661 is: 148,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,729 : 241,145.46 = 107,661 : x
  2. Step 2: Convert to fraction form
    174,729/241,145.46 = 107,661/x
  3. Step 3: Cross multiply
    174,729x = 241,145.46 × 107,661
  4. Step 4: Simplify right side
    174,729x = 25,961,961,369.06
  5. Step 5: Solve for x
    x = 25,961,961,369.06/174,729
  6. Step 6: Final answer
    x = 148,584.16

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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.