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Finding the Fourth Proportional to 234,052.34, 351,656.24 and 149,849.19

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Solution

The fourth proportional to 234,052.34, 351,656.24 and 149,849.19 is: 225,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,052.34 : 351,656.24 = 149,849.19 : x
  2. Step 2: Convert to fraction form
    234,052.34/351,656.24 = 149,849.19/x
  3. Step 3: Cross multiply
    234,052.34x = 351,656.24 × 149,849.19
  4. Step 4: Simplify right side
    234,052.34x = 52,695,401,973.20
  5. Step 5: Solve for x
    x = 52,695,401,973.20/234,052.34
  6. Step 6: Final answer
    x = 225,143.67

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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.