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Finding the Fourth Proportional to 242,758.28, 364,328.10 and 168,401.67

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Solution

The fourth proportional to 242,758.28, 364,328.10 and 168,401.67 is: 252,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758.28 : 364,328.10 = 168,401.67 : x
  2. Step 2: Convert to fraction form
    242,758.28/364,328.10 = 168,401.67/x
  3. Step 3: Cross multiply
    242,758.28x = 364,328.10 × 168,401.67
  4. Step 4: Simplify right side
    242,758.28x = 61,353,460,467.93
  5. Step 5: Solve for x
    x = 61,353,460,467.93/242,758.28
  6. Step 6: Final answer
    x = 252,734.79

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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.