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Finding the Fourth Proportional to 114,295.54, 171,454.61 and 39,405.85

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Solution

The fourth proportional to 114,295.54, 171,454.61 and 39,405.85 is: 59,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.54 : 171,454.61 = 39,405.85 : x
  2. Step 2: Convert to fraction form
    114,295.54/171,454.61 = 39,405.85/x
  3. Step 3: Cross multiply
    114,295.54x = 171,454.61 × 39,405.85
  4. Step 4: Simplify right side
    114,295.54x = 6,756,314,643.47
  5. Step 5: Solve for x
    x = 6,756,314,643.47/114,295.54
  6. Step 6: Final answer
    x = 59,112.67

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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.