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Finding the Fourth Proportional to 234,169.42, 323,161.64 and 143,507.88

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Solution

The fourth proportional to 234,169.42, 323,161.64 and 143,507.88 is: 198,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,169.42 : 323,161.64 = 143,507.88 : x
  2. Step 2: Convert to fraction form
    234,169.42/323,161.64 = 143,507.88/x
  3. Step 3: Cross multiply
    234,169.42x = 323,161.64 × 143,507.88
  4. Step 4: Simplify right side
    234,169.42x = 46,376,240,462.74
  5. Step 5: Solve for x
    x = 46,376,240,462.74/234,169.42
  6. Step 6: Final answer
    x = 198,045.67

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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.