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Finding the Fourth Proportional to 310,537.26, 465,904.35 and 110,853.36

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Solution

The fourth proportional to 310,537.26, 465,904.35 and 110,853.36 is: 166,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,537.26 : 465,904.35 = 110,853.36 : x
  2. Step 2: Convert to fraction form
    310,537.26/465,904.35 = 110,853.36/x
  3. Step 3: Cross multiply
    310,537.26x = 465,904.35 × 110,853.36
  4. Step 4: Simplify right side
    310,537.26x = 51,647,062,636.12
  5. Step 5: Solve for x
    x = 51,647,062,636.12/310,537.26
  6. Step 6: Final answer
    x = 166,315.19

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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.