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Finding the Fourth Proportional to 175,309.60, 262,964.40 and 81,824.80

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Solution

The fourth proportional to 175,309.60, 262,964.40 and 81,824.80 is: 122,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,309.60 : 262,964.40 = 81,824.80 : x
  2. Step 2: Convert to fraction form
    175,309.60/262,964.40 = 81,824.80/x
  3. Step 3: Cross multiply
    175,309.60x = 262,964.40 × 81,824.80
  4. Step 4: Simplify right side
    175,309.60x = 21,517,009,437.12
  5. Step 5: Solve for x
    x = 21,517,009,437.12/175,309.60
  6. Step 6: Final answer
    x = 122,737.20

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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.