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Finding the Fourth Proportional to 226,788.16, 340,259.12 and 100,411

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Solution

The fourth proportional to 226,788.16, 340,259.12 and 100,411 is: 150,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,788.16 : 340,259.12 = 100,411 : x
  2. Step 2: Convert to fraction form
    226,788.16/340,259.12 = 100,411/x
  3. Step 3: Cross multiply
    226,788.16x = 340,259.12 × 100,411
  4. Step 4: Simplify right side
    226,788.16x = 34,165,758,498.32
  5. Step 5: Solve for x
    x = 34,165,758,498.32/226,788.16
  6. Step 6: Final answer
    x = 150,650.54

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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.