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Finding the Fourth Proportional to 114,228.69, 171,359.43 and 35,349.67

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Solution

The fourth proportional to 114,228.69, 171,359.43 and 35,349.67 is: 53,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,228.69 : 171,359.43 = 35,349.67 : x
  2. Step 2: Convert to fraction form
    114,228.69/171,359.43 = 35,349.67/x
  3. Step 3: Cross multiply
    114,228.69x = 171,359.43 × 35,349.67
  4. Step 4: Simplify right side
    114,228.69x = 6,057,499,301.89
  5. Step 5: Solve for x
    x = 6,057,499,301.89/114,228.69
  6. Step 6: Final answer
    x = 53,029.58

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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.