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Finding the Fourth Proportional to 227,281.82, 340,802.58 and 100,867.10

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Solution

The fourth proportional to 227,281.82, 340,802.58 and 100,867.10 is: 151,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,281.82 : 340,802.58 = 100,867.10 : x
  2. Step 2: Convert to fraction form
    227,281.82/340,802.58 = 100,867.10/x
  3. Step 3: Cross multiply
    227,281.82x = 340,802.58 × 100,867.10
  4. Step 4: Simplify right side
    227,281.82x = 34,375,767,917.12
  5. Step 5: Solve for x
    x = 34,375,767,917.12/227,281.82
  6. Step 6: Final answer
    x = 151,247.33

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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.