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Finding the Fourth Proportional to 114,682.46, 171,917.64 and 105,223.07

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Solution

The fourth proportional to 114,682.46, 171,917.64 and 105,223.07 is: 157,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682.46 : 171,917.64 = 105,223.07 : x
  2. Step 2: Convert to fraction form
    114,682.46/171,917.64 = 105,223.07/x
  3. Step 3: Cross multiply
    114,682.46x = 171,917.64 × 105,223.07
  4. Step 4: Simplify right side
    114,682.46x = 18,089,701,008.37
  5. Step 5: Solve for x
    x = 18,089,701,008.37/114,682.46
  6. Step 6: Final answer
    x = 157,737.30

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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.