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Finding the Fourth Proportional to 109,851.20, 164,776.80 and 96,027.20

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Solution

The fourth proportional to 109,851.20, 164,776.80 and 96,027.20 is: 144,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,851.20 : 164,776.80 = 96,027.20 : x
  2. Step 2: Convert to fraction form
    109,851.20/164,776.80 = 96,027.20/x
  3. Step 3: Cross multiply
    109,851.20x = 164,776.80 × 96,027.20
  4. Step 4: Simplify right side
    109,851.20x = 15,823,054,728.96
  5. Step 5: Solve for x
    x = 15,823,054,728.96/109,851.20
  6. Step 6: Final answer
    x = 144,040.80

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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.