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Finding the Fourth Proportional to 117,183.42, 175,739.22 and 42,294.42

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Solution

The fourth proportional to 117,183.42, 175,739.22 and 42,294.42 is: 63,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,183.42 : 175,739.22 = 42,294.42 : x
  2. Step 2: Convert to fraction form
    117,183.42/175,739.22 = 42,294.42/x
  3. Step 3: Cross multiply
    117,183.42x = 175,739.22 × 42,294.42
  4. Step 4: Simplify right side
    117,183.42x = 7,432,788,381.15
  5. Step 5: Solve for x
    x = 7,432,788,381.15/117,183.42
  6. Step 6: Final answer
    x = 63,428.67

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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.