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Finding the Fourth Proportional to 161,719.20, 242,578.80 and 152,533.80

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Solution

The fourth proportional to 161,719.20, 242,578.80 and 152,533.80 is: 228,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,719.20 : 242,578.80 = 152,533.80 : x
  2. Step 2: Convert to fraction form
    161,719.20/242,578.80 = 152,533.80/x
  3. Step 3: Cross multiply
    161,719.20x = 242,578.80 × 152,533.80
  4. Step 4: Simplify right side
    161,719.20x = 37,001,466,163.44
  5. Step 5: Solve for x
    x = 37,001,466,163.44/161,719.20
  6. Step 6: Final answer
    x = 228,800.70

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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.