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Finding the Fourth Proportional to 114,029.70, 171,044.55 and 109,364.10

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Solution

The fourth proportional to 114,029.70, 171,044.55 and 109,364.10 is: 164,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,029.70 : 171,044.55 = 109,364.10 : x
  2. Step 2: Convert to fraction form
    114,029.70/171,044.55 = 109,364.10/x
  3. Step 3: Cross multiply
    114,029.70x = 171,044.55 × 109,364.10
  4. Step 4: Simplify right side
    114,029.70x = 18,706,133,270.66
  5. Step 5: Solve for x
    x = 18,706,133,270.66/114,029.70
  6. Step 6: Final answer
    x = 164,046.15

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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.