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Finding the Fourth Proportional to 175,989.60, 263,984.40 and 51,343.20

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Solution

The fourth proportional to 175,989.60, 263,984.40 and 51,343.20 is: 77,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,989.60 : 263,984.40 = 51,343.20 : x
  2. Step 2: Convert to fraction form
    175,989.60/263,984.40 = 51,343.20/x
  3. Step 3: Cross multiply
    175,989.60x = 263,984.40 × 51,343.20
  4. Step 4: Simplify right side
    175,989.60x = 13,553,803,846.08
  5. Step 5: Solve for x
    x = 13,553,803,846.08/175,989.60
  6. Step 6: Final answer
    x = 77,014.80

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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.