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Finding the Fourth Proportional to 114,009.93, 171,015.30 and 67,230

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Solution

The fourth proportional to 114,009.93, 171,015.30 and 67,230 is: 100,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009.93 : 171,015.30 = 67,230 : x
  2. Step 2: Convert to fraction form
    114,009.93/171,015.30 = 67,230/x
  3. Step 3: Cross multiply
    114,009.93x = 171,015.30 × 67,230
  4. Step 4: Simplify right side
    114,009.93x = 11,497,358,619
  5. Step 5: Solve for x
    x = 11,497,358,619/114,009.93
  6. Step 6: Final answer
    x = 100,845.24

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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.