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Finding the Fourth Proportional to 226,739.40, 340,109.10 and 58,259.40

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Solution

The fourth proportional to 226,739.40, 340,109.10 and 58,259.40 is: 87,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,739.40 : 340,109.10 = 58,259.40 : x
  2. Step 2: Convert to fraction form
    226,739.40/340,109.10 = 58,259.40/x
  3. Step 3: Cross multiply
    226,739.40x = 340,109.10 × 58,259.40
  4. Step 4: Simplify right side
    226,739.40x = 19,814,552,100.54
  5. Step 5: Solve for x
    x = 19,814,552,100.54/226,739.40
  6. Step 6: Final answer
    x = 87,389.10

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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.