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Finding the Fourth Proportional to 227,093.69, 313,374.29 and 136,395.76

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Solution

The fourth proportional to 227,093.69, 313,374.29 and 136,395.76 is: 188,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,093.69 : 313,374.29 = 136,395.76 : x
  2. Step 2: Convert to fraction form
    227,093.69/313,374.29 = 136,395.76/x
  3. Step 3: Cross multiply
    227,093.69x = 313,374.29 × 136,395.76
  4. Step 4: Simplify right side
    227,093.69x = 42,742,924,449.01
  5. Step 5: Solve for x
    x = 42,742,924,449.01/227,093.69
  6. Step 6: Final answer
    x = 188,217.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.