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Finding the Fourth Proportional to 235,372.98, 353,057.83 and 77,614.14

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Solution

The fourth proportional to 235,372.98, 353,057.83 and 77,614.14 is: 116,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,372.98 : 353,057.83 = 77,614.14 : x
  2. Step 2: Convert to fraction form
    235,372.98/353,057.83 = 77,614.14/x
  3. Step 3: Cross multiply
    235,372.98x = 353,057.83 × 77,614.14
  4. Step 4: Simplify right side
    235,372.98x = 27,402,279,845.72
  5. Step 5: Solve for x
    x = 27,402,279,845.72/235,372.98
  6. Step 6: Final answer
    x = 116,420.67

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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.