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Finding the Fourth Proportional to 164,851.20, 227,491.20 and 108,259.20

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Solution

The fourth proportional to 164,851.20, 227,491.20 and 108,259.20 is: 149,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,851.20 : 227,491.20 = 108,259.20 : x
  2. Step 2: Convert to fraction form
    164,851.20/227,491.20 = 108,259.20/x
  3. Step 3: Cross multiply
    164,851.20x = 227,491.20 × 108,259.20
  4. Step 4: Simplify right side
    164,851.20x = 24,628,015,319.04
  5. Step 5: Solve for x
    x = 24,628,015,319.04/164,851.20
  6. Step 6: Final answer
    x = 149,395.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.