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Finding the Fourth Proportional to 107,523.75, 160,480.03 and 105,750.00

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Solution

The fourth proportional to 107,523.75, 160,480.03 and 105,750.00 is: 157,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,523.75 : 160,480.03 = 105,750.00 : x
  2. Step 2: Convert to fraction form
    107,523.75/160,480.03 = 105,750.00/x
  3. Step 3: Cross multiply
    107,523.75x = 160,480.03 × 105,750.00
  4. Step 4: Simplify right side
    107,523.75x = 16,970,763,044.95
  5. Step 5: Solve for x
    x = 16,970,763,044.95/107,523.75
  6. Step 6: Final answer
    x = 157,832.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.