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Finding the Fourth Proportional to 175,043.20, 262,564.80 and 81,731.20

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Solution

The fourth proportional to 175,043.20, 262,564.80 and 81,731.20 is: 122,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,043.20 : 262,564.80 = 81,731.20 : x
  2. Step 2: Convert to fraction form
    175,043.20/262,564.80 = 81,731.20/x
  3. Step 3: Cross multiply
    175,043.20x = 262,564.80 × 81,731.20
  4. Step 4: Simplify right side
    175,043.20x = 21,459,736,181.76
  5. Step 5: Solve for x
    x = 21,459,736,181.76/175,043.20
  6. Step 6: Final answer
    x = 122,596.80

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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.