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Finding the Fourth Proportional to 342,859.14, 514,322.52 and 118,190.01

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Solution

The fourth proportional to 342,859.14, 514,322.52 and 118,190.01 is: 177,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,859.14 : 514,322.52 = 118,190.01 : x
  2. Step 2: Convert to fraction form
    342,859.14/514,322.52 = 118,190.01/x
  3. Step 3: Cross multiply
    342,859.14x = 514,322.52 × 118,190.01
  4. Step 4: Simplify right side
    342,859.14x = 60,787,783,782.03
  5. Step 5: Solve for x
    x = 60,787,783,782.03/342,859.14
  6. Step 6: Final answer
    x = 177,296.67

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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.