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Finding the Fourth Proportional to 114,295.78, 171,441.80 and 31,189.78

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Solution

The fourth proportional to 114,295.78, 171,441.80 and 31,189.78 is: 46,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.78 : 171,441.80 = 31,189.78 : x
  2. Step 2: Convert to fraction form
    114,295.78/171,441.80 = 31,189.78/x
  3. Step 3: Cross multiply
    114,295.78x = 171,441.80 × 31,189.78
  4. Step 4: Simplify right side
    114,295.78x = 5,347,232,024.80
  5. Step 5: Solve for x
    x = 5,347,232,024.80/114,295.78
  6. Step 6: Final answer
    x = 46,784.16

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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.