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Finding the Fourth Proportional to 114,693.60, 172,040.40 and 106,917.60

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Solution

The fourth proportional to 114,693.60, 172,040.40 and 106,917.60 is: 160,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,693.60 : 172,040.40 = 106,917.60 : x
  2. Step 2: Convert to fraction form
    114,693.60/172,040.40 = 106,917.60/x
  3. Step 3: Cross multiply
    114,693.60x = 172,040.40 × 106,917.60
  4. Step 4: Simplify right side
    114,693.60x = 18,394,146,671.04
  5. Step 5: Solve for x
    x = 18,394,146,671.04/114,693.60
  6. Step 6: Final answer
    x = 160,376.40

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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.