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Finding the Fourth Proportional to 114,151.68, 171,194.31 and 44,014.59

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Solution

The fourth proportional to 114,151.68, 171,194.31 and 44,014.59 is: 66,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,151.68 : 171,194.31 = 44,014.59 : x
  2. Step 2: Convert to fraction form
    114,151.68/171,194.31 = 44,014.59/x
  3. Step 3: Cross multiply
    114,151.68x = 171,194.31 × 44,014.59
  4. Step 4: Simplify right side
    114,151.68x = 7,535,047,364.98
  5. Step 5: Solve for x
    x = 7,535,047,364.98/114,151.68
  6. Step 6: Final answer
    x = 66,009.08

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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.