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Finding the Fourth Proportional to 353,175.78, 529,763.66 and 103,857.78

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Solution

The fourth proportional to 353,175.78, 529,763.66 and 103,857.78 is: 155,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,175.78 : 529,763.66 = 103,857.78 : x
  2. Step 2: Convert to fraction form
    353,175.78/529,763.66 = 103,857.78/x
  3. Step 3: Cross multiply
    353,175.78x = 529,763.66 × 103,857.78
  4. Step 4: Simplify right side
    353,175.78x = 55,020,077,652.27
  5. Step 5: Solve for x
    x = 55,020,077,652.27/353,175.78
  6. Step 6: Final answer
    x = 155,786.67

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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.