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Finding the Fourth Proportional to 301,137.26, 451,740.45 and 101,389.10

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Solution

The fourth proportional to 301,137.26, 451,740.45 and 101,389.10 is: 152,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,137.26 : 451,740.45 = 101,389.10 : x
  2. Step 2: Convert to fraction form
    301,137.26/451,740.45 = 101,389.10/x
  3. Step 3: Cross multiply
    301,137.26x = 451,740.45 × 101,389.10
  4. Step 4: Simplify right side
    301,137.26x = 45,801,557,659.10
  5. Step 5: Solve for x
    x = 45,801,557,659.10/301,137.26
  6. Step 6: Final answer
    x = 152,095.29

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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.