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Finding the Fourth Proportional to 468,016.40, 702,024.57 and 131,106.93

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Solution

The fourth proportional to 468,016.40, 702,024.57 and 131,106.93 is: 196,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,016.40 : 702,024.57 = 131,106.93 : x
  2. Step 2: Convert to fraction form
    468,016.40/702,024.57 = 131,106.93/x
  3. Step 3: Cross multiply
    468,016.40x = 702,024.57 × 131,106.93
  4. Step 4: Simplify right side
    468,016.40x = 92,040,286,157.27
  5. Step 5: Solve for x
    x = 92,040,286,157.27/468,016.40
  6. Step 6: Final answer
    x = 196,660.39

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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.