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Finding the Fourth Proportional to 234,424.72, 323,507.64 and 126,994.66

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Solution

The fourth proportional to 234,424.72, 323,507.64 and 126,994.66 is: 175,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,424.72 : 323,507.64 = 126,994.66 : x
  2. Step 2: Convert to fraction form
    234,424.72/323,507.64 = 126,994.66/x
  3. Step 3: Cross multiply
    234,424.72x = 323,507.64 × 126,994.66
  4. Step 4: Simplify right side
    234,424.72x = 41,083,742,749.20
  5. Step 5: Solve for x
    x = 41,083,742,749.20/234,424.72
  6. Step 6: Final answer
    x = 175,253.46

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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.