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Finding the Fourth Proportional to 114,212.40, 171,342.90 and 35,334.60

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Solution

The fourth proportional to 114,212.40, 171,342.90 and 35,334.60 is: 53,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,212.40 : 171,342.90 = 35,334.60 : x
  2. Step 2: Convert to fraction form
    114,212.40/171,342.90 = 35,334.60/x
  3. Step 3: Cross multiply
    114,212.40x = 171,342.90 × 35,334.60
  4. Step 4: Simplify right side
    114,212.40x = 6,054,332,834.34
  5. Step 5: Solve for x
    x = 6,054,332,834.34/114,212.40
  6. Step 6: Final answer
    x = 53,009.42

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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.