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Finding the Fourth Proportional to 114,330.54, 157,782 and 69,007.89

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Solution

The fourth proportional to 114,330.54, 157,782 and 69,007.89 is: 95,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,330.54 : 157,782 = 69,007.89 : x
  2. Step 2: Convert to fraction form
    114,330.54/157,782 = 69,007.89/x
  3. Step 3: Cross multiply
    114,330.54x = 157,782 × 69,007.89
  4. Step 4: Simplify right side
    114,330.54x = 10,888,202,899.98
  5. Step 5: Solve for x
    x = 10,888,202,899.98/114,330.54
  6. Step 6: Final answer
    x = 95,234.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.